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Finding the Third Proportional to 252,535 and 561,125

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Solution

The third proportional to 252,535 and 561,125 is: 1,246,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,535 : 561,125 = 561,125 : x
  2. Step 2: Convert to fraction form
    252,535/561,125 = 561,125/x
  3. Step 3: Cross multiply
    252,535x = 561,125 × 561,125
  4. Step 4: Simplify right side
    252,535x = 314,861,265,625
  5. Step 5: Solve for x
    x = 314,861,265,625/252,535
  6. Step 6: Final answer
    x = 1,246,802.49

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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.