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Finding the Third Proportional to 565,056 and 853,344

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Solution

The third proportional to 565,056 and 853,344 is: 1,288,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,056 : 853,344 = 853,344 : x
  2. Step 2: Convert to fraction form
    565,056/853,344 = 853,344/x
  3. Step 3: Cross multiply
    565,056x = 853,344 × 853,344
  4. Step 4: Simplify right side
    565,056x = 728,195,982,336
  5. Step 5: Solve for x
    x = 728,195,982,336/565,056
  6. Step 6: Final answer
    x = 1,288,714.72

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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.