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Finding the Third Proportional to 251,139 and 592,725

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Solution

The third proportional to 251,139 and 592,725 is: 1,398,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,139 : 592,725 = 592,725 : x
  2. Step 2: Convert to fraction form
    251,139/592,725 = 592,725/x
  3. Step 3: Cross multiply
    251,139x = 592,725 × 592,725
  4. Step 4: Simplify right side
    251,139x = 351,322,925,625
  5. Step 5: Solve for x
    x = 351,322,925,625/251,139
  6. Step 6: Final answer
    x = 1,398,918.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.