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Finding the Third Proportional to 466,528 and 742,698

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Solution

The third proportional to 466,528 and 742,698 is: 1,182,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,528 : 742,698 = 742,698 : x
  2. Step 2: Convert to fraction form
    466,528/742,698 = 742,698/x
  3. Step 3: Cross multiply
    466,528x = 742,698 × 742,698
  4. Step 4: Simplify right side
    466,528x = 551,600,319,204
  5. Step 5: Solve for x
    x = 551,600,319,204/466,528
  6. Step 6: Final answer
    x = 1,182,352.01

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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.