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Finding the Third Proportional to 431,051.63 and 652,546.13

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Solution

The third proportional to 431,051.63 and 652,546.13 is: 987,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051.63 : 652,546.13 = 652,546.13 : x
  2. Step 2: Convert to fraction form
    431,051.63/652,546.13 = 652,546.13/x
  3. Step 3: Cross multiply
    431,051.63x = 652,546.13 × 652,546.13
  4. Step 4: Simplify right side
    431,051.63x = 425,816,445,252.52
  5. Step 5: Solve for x
    x = 425,816,445,252.52/431,051.63
  6. Step 6: Final answer
    x = 987,854.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.