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Finding the Third Proportional to 340,274,248 and 527,908,016

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Solution

The third proportional to 340,274,248 and 527,908,016 is: 819,006,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,274,248 : 527,908,016 = 527,908,016 : x
  2. Step 2: Convert to fraction form
    340,274,248/527,908,016 = 527,908,016/x
  3. Step 3: Cross multiply
    340,274,248x = 527,908,016 × 527,908,016
  4. Step 4: Simplify right side
    340,274,248x = 278,686,873,357,056,256
  5. Step 5: Solve for x
    x = 278,686,873,357,056,256/340,274,248
  6. Step 6: Final answer
    x = 819,006,654.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.