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Finding the Third Proportional to 386,352 and 814,656

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Solution

The third proportional to 386,352 and 814,656 is: 1,717,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,352 : 814,656 = 814,656 : x
  2. Step 2: Convert to fraction form
    386,352/814,656 = 814,656/x
  3. Step 3: Cross multiply
    386,352x = 814,656 × 814,656
  4. Step 4: Simplify right side
    386,352x = 663,664,398,336
  5. Step 5: Solve for x
    x = 663,664,398,336/386,352
  6. Step 6: Final answer
    x = 1,717,771.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.