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Finding the Third Proportional to 232,766,784 and 365,141,520

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Solution

The third proportional to 232,766,784 and 365,141,520 is: 572,797,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,766,784 : 365,141,520 = 365,141,520 : x
  2. Step 2: Convert to fraction form
    232,766,784/365,141,520 = 365,141,520/x
  3. Step 3: Cross multiply
    232,766,784x = 365,141,520 × 365,141,520
  4. Step 4: Simplify right side
    232,766,784x = 133,328,329,627,910,400
  5. Step 5: Solve for x
    x = 133,328,329,627,910,400/232,766,784
  6. Step 6: Final answer
    x = 572,797,919.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.