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Finding the Third Proportional to 401,748 and 588,246

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Solution

The third proportional to 401,748 and 588,246 is: 861,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,748 : 588,246 = 588,246 : x
  2. Step 2: Convert to fraction form
    401,748/588,246 = 588,246/x
  3. Step 3: Cross multiply
    401,748x = 588,246 × 588,246
  4. Step 4: Simplify right side
    401,748x = 346,033,356,516
  5. Step 5: Solve for x
    x = 346,033,356,516/401,748
  6. Step 6: Final answer
    x = 861,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.