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Finding the Third Proportional to 363,649.50 and 849,406.50

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Solution

The third proportional to 363,649.50 and 849,406.50 is: 1,984,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,649.50 : 849,406.50 = 849,406.50 : x
  2. Step 2: Convert to fraction form
    363,649.50/849,406.50 = 849,406.50/x
  3. Step 3: Cross multiply
    363,649.50x = 849,406.50 × 849,406.50
  4. Step 4: Simplify right side
    363,649.50x = 721,491,402,242.25
  5. Step 5: Solve for x
    x = 721,491,402,242.25/363,649.50
  6. Step 6: Final answer
    x = 1,984,029.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.