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Finding the Third Proportional to 446,762,338.50 and 688,985,054.50

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Solution

The third proportional to 446,762,338.50 and 688,985,054.50 is: 1,062,534,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,762,338.50 : 688,985,054.50 = 688,985,054.50 : x
  2. Step 2: Convert to fraction form
    446,762,338.50/688,985,054.50 = 688,985,054.50/x
  3. Step 3: Cross multiply
    446,762,338.50x = 688,985,054.50 × 688,985,054.50
  4. Step 4: Simplify right side
    446,762,338.50x = 474,700,405,324,368,000
  5. Step 5: Solve for x
    x = 474,700,405,324,368,000/446,762,338.50
  6. Step 6: Final answer
    x = 1,062,534,516.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.