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Finding the Third Proportional to 495,514 and 731,607

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Solution

The third proportional to 495,514 and 731,607 is: 1,080,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,514 : 731,607 = 731,607 : x
  2. Step 2: Convert to fraction form
    495,514/731,607 = 731,607/x
  3. Step 3: Cross multiply
    495,514x = 731,607 × 731,607
  4. Step 4: Simplify right side
    495,514x = 535,248,802,449
  5. Step 5: Solve for x
    x = 535,248,802,449/495,514
  6. Step 6: Final answer
    x = 1,080,189.06

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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.