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Finding the Third Proportional to 482,780 and 731,946

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Solution

The third proportional to 482,780 and 731,946 is: 1,109,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,780 : 731,946 = 731,946 : x
  2. Step 2: Convert to fraction form
    482,780/731,946 = 731,946/x
  3. Step 3: Cross multiply
    482,780x = 731,946 × 731,946
  4. Step 4: Simplify right side
    482,780x = 535,744,946,916
  5. Step 5: Solve for x
    x = 535,744,946,916/482,780
  6. Step 6: Final answer
    x = 1,109,708.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.