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Finding the Third Proportional to 496,950.19 and 788,171.45

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Solution

The third proportional to 496,950.19 and 788,171.45 is: 1,250,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,950.19 : 788,171.45 = 788,171.45 : x
  2. Step 2: Convert to fraction form
    496,950.19/788,171.45 = 788,171.45/x
  3. Step 3: Cross multiply
    496,950.19x = 788,171.45 × 788,171.45
  4. Step 4: Simplify right side
    496,950.19x = 621,214,233,363.59
  5. Step 5: Solve for x
    x = 621,214,233,363.59/496,950.19
  6. Step 6: Final answer
    x = 1,250,053.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.