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Finding the Third Proportional to 270,064.13 and 588,728.25

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Solution

The third proportional to 270,064.13 and 588,728.25 is: 1,283,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,064.13 : 588,728.25 = 588,728.25 : x
  2. Step 2: Convert to fraction form
    270,064.13/588,728.25 = 588,728.25/x
  3. Step 3: Cross multiply
    270,064.13x = 588,728.25 × 588,728.25
  4. Step 4: Simplify right side
    270,064.13x = 346,600,952,348.06
  5. Step 5: Solve for x
    x = 346,600,952,348.06/270,064.13
  6. Step 6: Final answer
    x = 1,283,402.42

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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.