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Finding the Third Proportional to 281,058 and 663,453

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Solution

The third proportional to 281,058 and 663,453 is: 1,566,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,058 : 663,453 = 663,453 : x
  2. Step 2: Convert to fraction form
    281,058/663,453 = 663,453/x
  3. Step 3: Cross multiply
    281,058x = 663,453 × 663,453
  4. Step 4: Simplify right side
    281,058x = 440,169,883,209
  5. Step 5: Solve for x
    x = 440,169,883,209/281,058
  6. Step 6: Final answer
    x = 1,566,117.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.