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Finding the Third Proportional to 240,807,936 and 527,621,604

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Solution

The third proportional to 240,807,936 and 527,621,604 is: 1,156,043,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,807,936 : 527,621,604 = 527,621,604 : x
  2. Step 2: Convert to fraction form
    240,807,936/527,621,604 = 527,621,604/x
  3. Step 3: Cross multiply
    240,807,936x = 527,621,604 × 527,621,604
  4. Step 4: Simplify right side
    240,807,936x = 278,384,557,007,532,800
  5. Step 5: Solve for x
    x = 278,384,557,007,532,800/240,807,936
  6. Step 6: Final answer
    x = 1,156,043,947.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.