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Finding the Third Proportional to 497,680 and 755,736

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Solution

The third proportional to 497,680 and 755,736 is: 1,147,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,680 : 755,736 = 755,736 : x
  2. Step 2: Convert to fraction form
    497,680/755,736 = 755,736/x
  3. Step 3: Cross multiply
    497,680x = 755,736 × 755,736
  4. Step 4: Simplify right side
    497,680x = 571,136,901,696
  5. Step 5: Solve for x
    x = 571,136,901,696/497,680
  6. Step 6: Final answer
    x = 1,147,598.66

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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.