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Finding the Third Proportional to 360,659 and 771,349

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Solution

The third proportional to 360,659 and 771,349 is: 1,649,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,659 : 771,349 = 771,349 : x
  2. Step 2: Convert to fraction form
    360,659/771,349 = 771,349/x
  3. Step 3: Cross multiply
    360,659x = 771,349 × 771,349
  4. Step 4: Simplify right side
    360,659x = 594,979,279,801
  5. Step 5: Solve for x
    x = 594,979,279,801/360,659
  6. Step 6: Final answer
    x = 1,649,700.35

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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.