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Finding the Third Proportional to 466,508 and 742,664

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Solution

The third proportional to 466,508 and 742,664 is: 1,182,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,508 : 742,664 = 742,664 : x
  2. Step 2: Convert to fraction form
    466,508/742,664 = 742,664/x
  3. Step 3: Cross multiply
    466,508x = 742,664 × 742,664
  4. Step 4: Simplify right side
    466,508x = 551,549,816,896
  5. Step 5: Solve for x
    x = 551,549,816,896/466,508
  6. Step 6: Final answer
    x = 1,182,294.44

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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.