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Finding the Third Proportional to 485,364,760 and 686,776,256

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Solution

The third proportional to 485,364,760 and 686,776,256 is: 971,767,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,364,760 : 686,776,256 = 686,776,256 : x
  2. Step 2: Convert to fraction form
    485,364,760/686,776,256 = 686,776,256/x
  3. Step 3: Cross multiply
    485,364,760x = 686,776,256 × 686,776,256
  4. Step 4: Simplify right side
    485,364,760x = 471,661,625,805,377,536
  5. Step 5: Solve for x
    x = 471,661,625,805,377,536/485,364,760
  6. Step 6: Final answer
    x = 971,767,348.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.