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Finding the Third Proportional to 499,757.34 and 712,254.52

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Solution

The third proportional to 499,757.34 and 712,254.52 is: 1,015,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,757.34 : 712,254.52 = 712,254.52 : x
  2. Step 2: Convert to fraction form
    499,757.34/712,254.52 = 712,254.52/x
  3. Step 3: Cross multiply
    499,757.34x = 712,254.52 × 712,254.52
  4. Step 4: Simplify right side
    499,757.34x = 507,306,495,028.20
  5. Step 5: Solve for x
    x = 507,306,495,028.20/499,757.34
  6. Step 6: Final answer
    x = 1,015,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.