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Finding the Third Proportional to 327,907.88 and 482,484.56

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Solution

The third proportional to 327,907.88 and 482,484.56 is: 709,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,907.88 : 482,484.56 = 482,484.56 : x
  2. Step 2: Convert to fraction form
    327,907.88/482,484.56 = 482,484.56/x
  3. Step 3: Cross multiply
    327,907.88x = 482,484.56 × 482,484.56
  4. Step 4: Simplify right side
    327,907.88x = 232,791,353,050.82
  5. Step 5: Solve for x
    x = 232,791,353,050.82/327,907.88
  6. Step 6: Final answer
    x = 709,929.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.