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Finding the Third Proportional to 418,195 and 665,429

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Solution

The third proportional to 418,195 and 665,429 is: 1,058,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,195 : 665,429 = 665,429 : x
  2. Step 2: Convert to fraction form
    418,195/665,429 = 665,429/x
  3. Step 3: Cross multiply
    418,195x = 665,429 × 665,429
  4. Step 4: Simplify right side
    418,195x = 442,795,754,041
  5. Step 5: Solve for x
    x = 442,795,754,041/418,195
  6. Step 6: Final answer
    x = 1,058,826.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.