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Finding the Third Proportional to 466,486 and 742,633

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Solution

The third proportional to 466,486 and 742,633 is: 1,182,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,486 : 742,633 = 742,633 : x
  2. Step 2: Convert to fraction form
    466,486/742,633 = 742,633/x
  3. Step 3: Cross multiply
    466,486x = 742,633 × 742,633
  4. Step 4: Simplify right side
    466,486x = 551,503,772,689
  5. Step 5: Solve for x
    x = 551,503,772,689/466,486
  6. Step 6: Final answer
    x = 1,182,251.50

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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.