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Finding the Third Proportional to 259,569 and 563,202

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Solution

The third proportional to 259,569 and 563,202 is: 1,222,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,569 : 563,202 = 563,202 : x
  2. Step 2: Convert to fraction form
    259,569/563,202 = 563,202/x
  3. Step 3: Cross multiply
    259,569x = 563,202 × 563,202
  4. Step 4: Simplify right side
    259,569x = 317,196,492,804
  5. Step 5: Solve for x
    x = 317,196,492,804/259,569
  6. Step 6: Final answer
    x = 1,222,012.23

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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.