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Finding the Third Proportional to 256,402.50 and 561,063

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Solution

The third proportional to 256,402.50 and 561,063 is: 1,227,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,402.50 : 561,063 = 561,063 : x
  2. Step 2: Convert to fraction form
    256,402.50/561,063 = 561,063/x
  3. Step 3: Cross multiply
    256,402.50x = 561,063 × 561,063
  4. Step 4: Simplify right side
    256,402.50x = 314,791,689,969
  5. Step 5: Solve for x
    x = 314,791,689,969/256,402.50
  6. Step 6: Final answer
    x = 1,227,724.73

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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.