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Finding the Third Proportional to 297,987.47 and 652,659.33

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Solution

The third proportional to 297,987.47 and 652,659.33 is: 1,429,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,987.47 : 652,659.33 = 652,659.33 : x
  2. Step 2: Convert to fraction form
    297,987.47/652,659.33 = 652,659.33/x
  3. Step 3: Cross multiply
    297,987.47x = 652,659.33 × 652,659.33
  4. Step 4: Simplify right side
    297,987.47x = 425,964,198,588.58
  5. Step 5: Solve for x
    x = 425,964,198,588.58/297,987.47
  6. Step 6: Final answer
    x = 1,429,470.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.