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Finding the Third Proportional to 502,010.16 and 764,780.48

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Solution

The third proportional to 502,010.16 and 764,780.48 is: 1,165,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,010.16 : 764,780.48 = 764,780.48 : x
  2. Step 2: Convert to fraction form
    502,010.16/764,780.48 = 764,780.48/x
  3. Step 3: Cross multiply
    502,010.16x = 764,780.48 × 764,780.48
  4. Step 4: Simplify right side
    502,010.16x = 584,889,189,280.86
  5. Step 5: Solve for x
    x = 584,889,189,280.86/502,010.16
  6. Step 6: Final answer
    x = 1,165,094.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.