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Finding the Third Proportional to 487,616.63 and 647,007.75

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Solution

The third proportional to 487,616.63 and 647,007.75 is: 858,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,616.63 : 647,007.75 = 647,007.75 : x
  2. Step 2: Convert to fraction form
    487,616.63/647,007.75 = 647,007.75/x
  3. Step 3: Cross multiply
    487,616.63x = 647,007.75 × 647,007.75
  4. Step 4: Simplify right side
    487,616.63x = 418,619,028,560.06
  5. Step 5: Solve for x
    x = 418,619,028,560.06/487,616.63
  6. Step 6: Final answer
    x = 858,500.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.