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Finding the Third Proportional to 215,498.13 and 457,264.62

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Solution

The third proportional to 215,498.13 and 457,264.62 is: 970,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,498.13 : 457,264.62 = 457,264.62 : x
  2. Step 2: Convert to fraction form
    215,498.13/457,264.62 = 457,264.62/x
  3. Step 3: Cross multiply
    215,498.13x = 457,264.62 × 457,264.62
  4. Step 4: Simplify right side
    215,498.13x = 209,090,930,131.63
  5. Step 5: Solve for x
    x = 209,090,930,131.63/215,498.13
  6. Step 6: Final answer
    x = 970,267.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.