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Finding the Third Proportional to 467,220 and 731,972

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Solution

The third proportional to 467,220 and 731,972 is: 1,146,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,220 : 731,972 = 731,972 : x
  2. Step 2: Convert to fraction form
    467,220/731,972 = 731,972/x
  3. Step 3: Cross multiply
    467,220x = 731,972 × 731,972
  4. Step 4: Simplify right side
    467,220x = 535,783,008,784
  5. Step 5: Solve for x
    x = 535,783,008,784/467,220
  6. Step 6: Final answer
    x = 1,146,746.73

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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.