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Finding the Third Proportional to 444,700.13 and 665,835.19

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Solution

The third proportional to 444,700.13 and 665,835.19 is: 996,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,700.13 : 665,835.19 = 665,835.19 : x
  2. Step 2: Convert to fraction form
    444,700.13/665,835.19 = 665,835.19/x
  3. Step 3: Cross multiply
    444,700.13x = 665,835.19 × 665,835.19
  4. Step 4: Simplify right side
    444,700.13x = 443,336,496,913.16
  5. Step 5: Solve for x
    x = 443,336,496,913.16/444,700.13
  6. Step 6: Final answer
    x = 996,933.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.