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Finding the Third Proportional to 567,678.38 and 671,358.38

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Solution

The third proportional to 567,678.38 and 671,358.38 is: 793,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,678.38 : 671,358.38 = 671,358.38 : x
  2. Step 2: Convert to fraction form
    567,678.38/671,358.38 = 671,358.38/x
  3. Step 3: Cross multiply
    567,678.38x = 671,358.38 × 671,358.38
  4. Step 4: Simplify right side
    567,678.38x = 450,722,067,682.64
  5. Step 5: Solve for x
    x = 450,722,067,682.64/567,678.38
  6. Step 6: Final answer
    x = 793,974.35

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.