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Finding the Third Proportional to 360,656 and 771,344

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Solution

The third proportional to 360,656 and 771,344 is: 1,649,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,656 : 771,344 = 771,344 : x
  2. Step 2: Convert to fraction form
    360,656/771,344 = 771,344/x
  3. Step 3: Cross multiply
    360,656x = 771,344 × 771,344
  4. Step 4: Simplify right side
    360,656x = 594,971,566,336
  5. Step 5: Solve for x
    x = 594,971,566,336/360,656
  6. Step 6: Final answer
    x = 1,649,692.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.