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Finding the Third Proportional to 401,902 and 547,326

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Solution

The third proportional to 401,902 and 547,326 is: 745,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,902 : 547,326 = 547,326 : x
  2. Step 2: Convert to fraction form
    401,902/547,326 = 547,326/x
  3. Step 3: Cross multiply
    401,902x = 547,326 × 547,326
  4. Step 4: Simplify right side
    401,902x = 299,565,750,276
  5. Step 5: Solve for x
    x = 299,565,750,276/401,902
  6. Step 6: Final answer
    x = 745,370.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.