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Finding the Third Proportional to 466,524 and 742,692

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Solution

The third proportional to 466,524 and 742,692 is: 1,182,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,524 : 742,692 = 742,692 : x
  2. Step 2: Convert to fraction form
    466,524/742,692 = 742,692/x
  3. Step 3: Cross multiply
    466,524x = 742,692 × 742,692
  4. Step 4: Simplify right side
    466,524x = 551,591,406,864
  5. Step 5: Solve for x
    x = 551,591,406,864/466,524
  6. Step 6: Final answer
    x = 1,182,343.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.