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Finding the Third Proportional to 367,427.25 and 787,342.50

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Solution

The third proportional to 367,427.25 and 787,342.50 is: 1,687,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,427.25 : 787,342.50 = 787,342.50 : x
  2. Step 2: Convert to fraction form
    367,427.25/787,342.50 = 787,342.50/x
  3. Step 3: Cross multiply
    367,427.25x = 787,342.50 × 787,342.50
  4. Step 4: Simplify right side
    367,427.25x = 619,908,212,306.25
  5. Step 5: Solve for x
    x = 619,908,212,306.25/367,427.25
  6. Step 6: Final answer
    x = 1,687,159.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.