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Finding the Third Proportional to 466,866 and 731,605.50

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Solution

The third proportional to 466,866 and 731,605.50 is: 1,146,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,866 : 731,605.50 = 731,605.50 : x
  2. Step 2: Convert to fraction form
    466,866/731,605.50 = 731,605.50/x
  3. Step 3: Cross multiply
    466,866x = 731,605.50 × 731,605.50
  4. Step 4: Simplify right side
    466,866x = 535,246,607,630.25
  5. Step 5: Solve for x
    x = 535,246,607,630.25/466,866
  6. Step 6: Final answer
    x = 1,146,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.