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Finding the Third Proportional to 387,782.44 and 579,349.97

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Solution

The third proportional to 387,782.44 and 579,349.97 is: 865,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,782.44 : 579,349.97 = 579,349.97 : x
  2. Step 2: Convert to fraction form
    387,782.44/579,349.97 = 579,349.97/x
  3. Step 3: Cross multiply
    387,782.44x = 579,349.97 × 579,349.97
  4. Step 4: Simplify right side
    387,782.44x = 335,646,386,290.63
  5. Step 5: Solve for x
    x = 335,646,386,290.63/387,782.44
  6. Step 6: Final answer
    x = 865,553.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.