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Finding the Third Proportional to 279,705.84 and 430,177.78

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Solution

The third proportional to 279,705.84 and 430,177.78 is: 661,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,705.84 : 430,177.78 = 430,177.78 : x
  2. Step 2: Convert to fraction form
    279,705.84/430,177.78 = 430,177.78/x
  3. Step 3: Cross multiply
    279,705.84x = 430,177.78 × 430,177.78
  4. Step 4: Simplify right side
    279,705.84x = 185,052,923,481.17
  5. Step 5: Solve for x
    x = 185,052,923,481.17/279,705.84
  6. Step 6: Final answer
    x = 661,598.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.