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Finding the Third Proportional to 474,781,584 and 717,133,288

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Solution

The third proportional to 474,781,584 and 717,133,288 is: 1,083,193,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,781,584 : 717,133,288 = 717,133,288 : x
  2. Step 2: Convert to fraction form
    474,781,584/717,133,288 = 717,133,288/x
  3. Step 3: Cross multiply
    474,781,584x = 717,133,288 × 717,133,288
  4. Step 4: Simplify right side
    474,781,584x = 514,280,152,757,690,944
  5. Step 5: Solve for x
    x = 514,280,152,757,690,944/474,781,584
  6. Step 6: Final answer
    x = 1,083,193,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.