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Finding the Third Proportional to 508,259 and 1,058,624

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Solution

The third proportional to 508,259 and 1,058,624 is: 2,204,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,259 : 1,058,624 = 1,058,624 : x
  2. Step 2: Convert to fraction form
    508,259/1,058,624 = 1,058,624/x
  3. Step 3: Cross multiply
    508,259x = 1,058,624 × 1,058,624
  4. Step 4: Simplify right side
    508,259x = 1,120,684,773,376
  5. Step 5: Solve for x
    x = 1,120,684,773,376/508,259
  6. Step 6: Final answer
    x = 2,204,948.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.