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Finding the Third Proportional to 245,882 and 379,743

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Solution

The third proportional to 245,882 and 379,743 is: 586,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,882 : 379,743 = 379,743 : x
  2. Step 2: Convert to fraction form
    245,882/379,743 = 379,743/x
  3. Step 3: Cross multiply
    245,882x = 379,743 × 379,743
  4. Step 4: Simplify right side
    245,882x = 144,204,746,049
  5. Step 5: Solve for x
    x = 144,204,746,049/245,882
  6. Step 6: Final answer
    x = 586,479.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.