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Finding the Third Proportional to 506,656 and 790,656

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Solution

The third proportional to 506,656 and 790,656 is: 1,233,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,656 : 790,656 = 790,656 : x
  2. Step 2: Convert to fraction form
    506,656/790,656 = 790,656/x
  3. Step 3: Cross multiply
    506,656x = 790,656 × 790,656
  4. Step 4: Simplify right side
    506,656x = 625,136,910,336
  5. Step 5: Solve for x
    x = 625,136,910,336/506,656
  6. Step 6: Final answer
    x = 1,233,848.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.