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Finding the Third Proportional to 259,525 and 563,114

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Solution

The third proportional to 259,525 and 563,114 is: 1,221,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,525 : 563,114 = 563,114 : x
  2. Step 2: Convert to fraction form
    259,525/563,114 = 563,114/x
  3. Step 3: Cross multiply
    259,525x = 563,114 × 563,114
  4. Step 4: Simplify right side
    259,525x = 317,097,376,996
  5. Step 5: Solve for x
    x = 317,097,376,996/259,525
  6. Step 6: Final answer
    x = 1,221,837.50

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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.