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Finding the Third Proportional to 259,100 and 563,784

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Solution

The third proportional to 259,100 and 563,784 is: 1,226,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,100 : 563,784 = 563,784 : x
  2. Step 2: Convert to fraction form
    259,100/563,784 = 563,784/x
  3. Step 3: Cross multiply
    259,100x = 563,784 × 563,784
  4. Step 4: Simplify right side
    259,100x = 317,852,398,656
  5. Step 5: Solve for x
    x = 317,852,398,656/259,100
  6. Step 6: Final answer
    x = 1,226,755.69

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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.