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Finding the Third Proportional to 329,798 and 497,757

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Solution

The third proportional to 329,798 and 497,757 is: 751,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,798 : 497,757 = 497,757 : x
  2. Step 2: Convert to fraction form
    329,798/497,757 = 497,757/x
  3. Step 3: Cross multiply
    329,798x = 497,757 × 497,757
  4. Step 4: Simplify right side
    329,798x = 247,762,031,049
  5. Step 5: Solve for x
    x = 247,762,031,049/329,798
  6. Step 6: Final answer
    x = 751,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.