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Finding the Third Proportional to 349,748 and 747,482

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Solution

The third proportional to 349,748 and 747,482 is: 1,597,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,748 : 747,482 = 747,482 : x
  2. Step 2: Convert to fraction form
    349,748/747,482 = 747,482/x
  3. Step 3: Cross multiply
    349,748x = 747,482 × 747,482
  4. Step 4: Simplify right side
    349,748x = 558,729,340,324
  5. Step 5: Solve for x
    x = 558,729,340,324/349,748
  6. Step 6: Final answer
    x = 1,597,519.76

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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.