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Finding the Third Proportional to 363,970.13 and 790,816.50

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Solution

The third proportional to 363,970.13 and 790,816.50 is: 1,718,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,970.13 : 790,816.50 = 790,816.50 : x
  2. Step 2: Convert to fraction form
    363,970.13/790,816.50 = 790,816.50/x
  3. Step 3: Cross multiply
    363,970.13x = 790,816.50 × 790,816.50
  4. Step 4: Simplify right side
    363,970.13x = 625,390,736,672.25
  5. Step 5: Solve for x
    x = 625,390,736,672.25/363,970.13
  6. Step 6: Final answer
    x = 1,718,247.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.