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Finding the Third Proportional to 466,092 and 719,743

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Solution

The third proportional to 466,092 and 719,743 is: 1,111,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,092 : 719,743 = 719,743 : x
  2. Step 2: Convert to fraction form
    466,092/719,743 = 719,743/x
  3. Step 3: Cross multiply
    466,092x = 719,743 × 719,743
  4. Step 4: Simplify right side
    466,092x = 518,029,986,049
  5. Step 5: Solve for x
    x = 518,029,986,049/466,092
  6. Step 6: Final answer
    x = 1,111,432.91

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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.