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Finding the Third Proportional to 252,526 and 561,105

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Solution

The third proportional to 252,526 and 561,105 is: 1,246,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,526 : 561,105 = 561,105 : x
  2. Step 2: Convert to fraction form
    252,526/561,105 = 561,105/x
  3. Step 3: Cross multiply
    252,526x = 561,105 × 561,105
  4. Step 4: Simplify right side
    252,526x = 314,838,821,025
  5. Step 5: Solve for x
    x = 314,838,821,025/252,526
  6. Step 6: Final answer
    x = 1,246,758.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.