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Finding the Third Proportional to 259,594 and 563,252

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Solution

The third proportional to 259,594 and 563,252 is: 1,222,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,594 : 563,252 = 563,252 : x
  2. Step 2: Convert to fraction form
    259,594/563,252 = 563,252/x
  3. Step 3: Cross multiply
    259,594x = 563,252 × 563,252
  4. Step 4: Simplify right side
    259,594x = 317,252,815,504
  5. Step 5: Solve for x
    x = 317,252,815,504/259,594
  6. Step 6: Final answer
    x = 1,222,111.51

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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.