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Finding the Third Proportional to 277,098.47 and 596,928.66

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Solution

The third proportional to 277,098.47 and 596,928.66 is: 1,285,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,098.47 : 596,928.66 = 596,928.66 : x
  2. Step 2: Convert to fraction form
    277,098.47/596,928.66 = 596,928.66/x
  3. Step 3: Cross multiply
    277,098.47x = 596,928.66 × 596,928.66
  4. Step 4: Simplify right side
    277,098.47x = 356,323,820,652.43
  5. Step 5: Solve for x
    x = 356,323,820,652.43/277,098.47
  6. Step 6: Final answer
    x = 1,285,910.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.