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Finding the Third Proportional to 314,561,220.75 and 471,841,872.75

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Solution

The third proportional to 314,561,220.75 and 471,841,872.75 is: 707,762,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,220.75 : 471,841,872.75 = 471,841,872.75 : x
  2. Step 2: Convert to fraction form
    314,561,220.75/471,841,872.75 = 471,841,872.75/x
  3. Step 3: Cross multiply
    314,561,220.75x = 471,841,872.75 × 471,841,872.75
  4. Step 4: Simplify right side
    314,561,220.75x = 222,634,752,880,227,200
  5. Step 5: Solve for x
    x = 222,634,752,880,227,200/314,561,220.75
  6. Step 6: Final answer
    x = 707,762,871.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.