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Finding the Third Proportional to 276,580.83 and 427,154.77

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Solution

The third proportional to 276,580.83 and 427,154.77 is: 659,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,580.83 : 427,154.77 = 427,154.77 : x
  2. Step 2: Convert to fraction form
    276,580.83/427,154.77 = 427,154.77/x
  3. Step 3: Cross multiply
    276,580.83x = 427,154.77 × 427,154.77
  4. Step 4: Simplify right side
    276,580.83x = 182,461,193,796.15
  5. Step 5: Solve for x
    x = 182,461,193,796.15/276,580.83
  6. Step 6: Final answer
    x = 659,702.97

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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.