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Finding the Third Proportional to 277,078.85 and 596,901.02

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Solution

The third proportional to 277,078.85 and 596,901.02 is: 1,285,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078.85 : 596,901.02 = 596,901.02 : x
  2. Step 2: Convert to fraction form
    277,078.85/596,901.02 = 596,901.02/x
  3. Step 3: Cross multiply
    277,078.85x = 596,901.02 × 596,901.02
  4. Step 4: Simplify right side
    277,078.85x = 356,290,831,780.74
  5. Step 5: Solve for x
    x = 356,290,831,780.74/277,078.85
  6. Step 6: Final answer
    x = 1,285,882.45

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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.