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Finding the Third Proportional to 391,277.25 and 524,100.38

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Solution

The third proportional to 391,277.25 and 524,100.38 is: 702,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,277.25 : 524,100.38 = 524,100.38 : x
  2. Step 2: Convert to fraction form
    391,277.25/524,100.38 = 524,100.38/x
  3. Step 3: Cross multiply
    391,277.25x = 524,100.38 × 524,100.38
  4. Step 4: Simplify right side
    391,277.25x = 274,681,203,075.14
  5. Step 5: Solve for x
    x = 274,681,203,075.14/391,277.25
  6. Step 6: Final answer
    x = 702,011.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.