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Finding the Third Proportional to 310,438,536 and 517,366,380

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Solution

The third proportional to 310,438,536 and 517,366,380 is: 862,225,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,438,536 : 517,366,380 = 517,366,380 : x
  2. Step 2: Convert to fraction form
    310,438,536/517,366,380 = 517,366,380/x
  3. Step 3: Cross multiply
    310,438,536x = 517,366,380 × 517,366,380
  4. Step 4: Simplify right side
    310,438,536x = 267,667,971,154,304,384
  5. Step 5: Solve for x
    x = 267,667,971,154,304,384/310,438,536
  6. Step 6: Final answer
    x = 862,225,336.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.