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Finding the Third Proportional to 256,263.43 and 561,888.14

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Solution

The third proportional to 256,263.43 and 561,888.14 is: 1,232,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,263.43 : 561,888.14 = 561,888.14 : x
  2. Step 2: Convert to fraction form
    256,263.43/561,888.14 = 561,888.14/x
  3. Step 3: Cross multiply
    256,263.43x = 561,888.14 × 561,888.14
  4. Step 4: Simplify right side
    256,263.43x = 315,718,282,575.02
  5. Step 5: Solve for x
    x = 315,718,282,575.02/256,263.43
  6. Step 6: Final answer
    x = 1,232,006.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.