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Finding the Third Proportional to 466,470 and 742,608

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Solution

The third proportional to 466,470 and 742,608 is: 1,182,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,470 : 742,608 = 742,608 : x
  2. Step 2: Convert to fraction form
    466,470/742,608 = 742,608/x
  3. Step 3: Cross multiply
    466,470x = 742,608 × 742,608
  4. Step 4: Simplify right side
    466,470x = 551,466,641,664
  5. Step 5: Solve for x
    x = 551,466,641,664/466,470
  6. Step 6: Final answer
    x = 1,182,212.45

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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.