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Finding the Third Proportional to 495,510 and 731,601

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Solution

The third proportional to 495,510 and 731,601 is: 1,080,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,510 : 731,601 = 731,601 : x
  2. Step 2: Convert to fraction form
    495,510/731,601 = 731,601/x
  3. Step 3: Cross multiply
    495,510x = 731,601 × 731,601
  4. Step 4: Simplify right side
    495,510x = 535,240,023,201
  5. Step 5: Solve for x
    x = 535,240,023,201/495,510
  6. Step 6: Final answer
    x = 1,080,180.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.