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Finding the Third Proportional to 466,510 and 742,667

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Solution

The third proportional to 466,510 and 742,667 is: 1,182,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,510 : 742,667 = 742,667 : x
  2. Step 2: Convert to fraction form
    466,510/742,667 = 742,667/x
  3. Step 3: Cross multiply
    466,510x = 742,667 × 742,667
  4. Step 4: Simplify right side
    466,510x = 551,554,272,889
  5. Step 5: Solve for x
    x = 551,554,272,889/466,510
  6. Step 6: Final answer
    x = 1,182,298.93

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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.