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Finding the Third Proportional to 349,532 and 764,479

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Solution

The third proportional to 349,532 and 764,479 is: 1,672,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,532 : 764,479 = 764,479 : x
  2. Step 2: Convert to fraction form
    349,532/764,479 = 764,479/x
  3. Step 3: Cross multiply
    349,532x = 764,479 × 764,479
  4. Step 4: Simplify right side
    349,532x = 584,428,141,441
  5. Step 5: Solve for x
    x = 584,428,141,441/349,532
  6. Step 6: Final answer
    x = 1,672,030.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.