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Finding the Third Proportional to 523,785,298 and 728,281,590

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Solution

The third proportional to 523,785,298 and 728,281,590 is: 1,012,617,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,785,298 : 728,281,590 = 728,281,590 : x
  2. Step 2: Convert to fraction form
    523,785,298/728,281,590 = 728,281,590/x
  3. Step 3: Cross multiply
    523,785,298x = 728,281,590 × 728,281,590
  4. Step 4: Simplify right side
    523,785,298x = 530,394,074,332,928,128
  5. Step 5: Solve for x
    x = 530,394,074,332,928,128/523,785,298
  6. Step 6: Final answer
    x = 1,012,617,338.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.