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Finding the Third Proportional to 259,598 and 563,260

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Solution

The third proportional to 259,598 and 563,260 is: 1,222,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,598 : 563,260 = 563,260 : x
  2. Step 2: Convert to fraction form
    259,598/563,260 = 563,260/x
  3. Step 3: Cross multiply
    259,598x = 563,260 × 563,260
  4. Step 4: Simplify right side
    259,598x = 317,261,827,600
  5. Step 5: Solve for x
    x = 317,261,827,600/259,598
  6. Step 6: Final answer
    x = 1,222,127.40

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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.