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Finding the Third Proportional to 487,612.13 and 647,010

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Solution

The third proportional to 487,612.13 and 647,010 is: 858,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,612.13 : 647,010 = 647,010 : x
  2. Step 2: Convert to fraction form
    487,612.13/647,010 = 647,010/x
  3. Step 3: Cross multiply
    487,612.13x = 647,010 × 647,010
  4. Step 4: Simplify right side
    487,612.13x = 418,621,940,100
  5. Step 5: Solve for x
    x = 418,621,940,100/487,612.13
  6. Step 6: Final answer
    x = 858,514.21

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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.