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Finding the Third Proportional to 413,306 and 876,211

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Solution

The third proportional to 413,306 and 876,211 is: 1,857,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,306 : 876,211 = 876,211 : x
  2. Step 2: Convert to fraction form
    413,306/876,211 = 876,211/x
  3. Step 3: Cross multiply
    413,306x = 876,211 × 876,211
  4. Step 4: Simplify right side
    413,306x = 767,745,716,521
  5. Step 5: Solve for x
    x = 767,745,716,521/413,306
  6. Step 6: Final answer
    x = 1,857,572.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.