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Finding the Third Proportional to 520,235,230.50 and 751,650,064.50

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Solution

The third proportional to 520,235,230.50 and 751,650,064.50 is: 1,086,004,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,235,230.50 : 751,650,064.50 = 751,650,064.50 : x
  2. Step 2: Convert to fraction form
    520,235,230.50/751,650,064.50 = 751,650,064.50/x
  3. Step 3: Cross multiply
    520,235,230.50x = 751,650,064.50 × 751,650,064.50
  4. Step 4: Simplify right side
    520,235,230.50x = 564,977,819,462,854,144
  5. Step 5: Solve for x
    x = 564,977,819,462,854,144/520,235,230.50
  6. Step 6: Final answer
    x = 1,086,004,534.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.