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Finding the Third Proportional to 259,537 and 563,138

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Solution

The third proportional to 259,537 and 563,138 is: 1,221,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,537 : 563,138 = 563,138 : x
  2. Step 2: Convert to fraction form
    259,537/563,138 = 563,138/x
  3. Step 3: Cross multiply
    259,537x = 563,138 × 563,138
  4. Step 4: Simplify right side
    259,537x = 317,124,407,044
  5. Step 5: Solve for x
    x = 317,124,407,044/259,537
  6. Step 6: Final answer
    x = 1,221,885.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.