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Finding the Third Proportional to 333,811.13 and 729,678.38

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Solution

The third proportional to 333,811.13 and 729,678.38 is: 1,595,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,811.13 : 729,678.38 = 729,678.38 : x
  2. Step 2: Convert to fraction form
    333,811.13/729,678.38 = 729,678.38/x
  3. Step 3: Cross multiply
    333,811.13x = 729,678.38 × 729,678.38
  4. Step 4: Simplify right side
    333,811.13x = 532,430,530,942.64
  5. Step 5: Solve for x
    x = 532,430,530,942.64/333,811.13
  6. Step 6: Final answer
    x = 1,595,005.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.