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Finding the Third Proportional to 239,304,496 and 520,537,472

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Solution

The third proportional to 239,304,496 and 520,537,472 is: 1,132,278,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,304,496 : 520,537,472 = 520,537,472 : x
  2. Step 2: Convert to fraction form
    239,304,496/520,537,472 = 520,537,472/x
  3. Step 3: Cross multiply
    239,304,496x = 520,537,472 × 520,537,472
  4. Step 4: Simplify right side
    239,304,496x = 270,959,259,756,150,784
  5. Step 5: Solve for x
    x = 270,959,259,756,150,784/239,304,496
  6. Step 6: Final answer
    x = 1,132,278,182.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.