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Finding the Third Proportional to 259,024 and 563,624

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Solution

The third proportional to 259,024 and 563,624 is: 1,226,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,024 : 563,624 = 563,624 : x
  2. Step 2: Convert to fraction form
    259,024/563,624 = 563,624/x
  3. Step 3: Cross multiply
    259,024x = 563,624 × 563,624
  4. Step 4: Simplify right side
    259,024x = 317,672,013,376
  5. Step 5: Solve for x
    x = 317,672,013,376/259,024
  6. Step 6: Final answer
    x = 1,226,419.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.