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Finding the Third Proportional to 497,934 and 754,420.50

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Solution

The third proportional to 497,934 and 754,420.50 is: 1,143,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,934 : 754,420.50 = 754,420.50 : x
  2. Step 2: Convert to fraction form
    497,934/754,420.50 = 754,420.50/x
  3. Step 3: Cross multiply
    497,934x = 754,420.50 × 754,420.50
  4. Step 4: Simplify right side
    497,934x = 569,150,290,820.25
  5. Step 5: Solve for x
    x = 569,150,290,820.25/497,934
  6. Step 6: Final answer
    x = 1,143,023.55

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