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Finding the Third Proportional to 625,823.72 and 850,127.91

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Solution

The third proportional to 625,823.72 and 850,127.91 is: 1,154,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,823.72 : 850,127.91 = 850,127.91 : x
  2. Step 2: Convert to fraction form
    625,823.72/850,127.91 = 850,127.91/x
  3. Step 3: Cross multiply
    625,823.72x = 850,127.91 × 850,127.91
  4. Step 4: Simplify right side
    625,823.72x = 722,717,456,985.01
  5. Step 5: Solve for x
    x = 722,717,456,985.01/625,823.72
  6. Step 6: Final answer
    x = 1,154,825.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.