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Finding the Third Proportional to 517,180.78 and 802,835.30

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Solution

The third proportional to 517,180.78 and 802,835.30 is: 1,246,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,180.78 : 802,835.30 = 802,835.30 : x
  2. Step 2: Convert to fraction form
    517,180.78/802,835.30 = 802,835.30/x
  3. Step 3: Cross multiply
    517,180.78x = 802,835.30 × 802,835.30
  4. Step 4: Simplify right side
    517,180.78x = 644,544,513,908.37
  5. Step 5: Solve for x
    x = 644,544,513,908.37/517,180.78
  6. Step 6: Final answer
    x = 1,246,265.40

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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.