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Finding the Third Proportional to 361,156.85 and 559,995.40

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Solution

The third proportional to 361,156.85 and 559,995.40 is: 868,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,156.85 : 559,995.40 = 559,995.40 : x
  2. Step 2: Convert to fraction form
    361,156.85/559,995.40 = 559,995.40/x
  3. Step 3: Cross multiply
    361,156.85x = 559,995.40 × 559,995.40
  4. Step 4: Simplify right side
    361,156.85x = 313,594,846,271.17
  5. Step 5: Solve for x
    x = 313,594,846,271.17/361,156.85
  6. Step 6: Final answer
    x = 868,306.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.