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Finding the Third Proportional to 466,475 and 742,616

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Solution

The third proportional to 466,475 and 742,616 is: 1,182,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,475 : 742,616 = 742,616 : x
  2. Step 2: Convert to fraction form
    466,475/742,616 = 742,616/x
  3. Step 3: Cross multiply
    466,475x = 742,616 × 742,616
  4. Step 4: Simplify right side
    466,475x = 551,478,523,456
  5. Step 5: Solve for x
    x = 551,478,523,456/466,475
  6. Step 6: Final answer
    x = 1,182,225.25

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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.