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Finding the Third Proportional to 375,981.75 and 865,684.13

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Solution

The third proportional to 375,981.75 and 865,684.13 is: 1,993,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,981.75 : 865,684.13 = 865,684.13 : x
  2. Step 2: Convert to fraction form
    375,981.75/865,684.13 = 865,684.13/x
  3. Step 3: Cross multiply
    375,981.75x = 865,684.13 × 865,684.13
  4. Step 4: Simplify right side
    375,981.75x = 749,409,004,277.02
  5. Step 5: Solve for x
    x = 749,409,004,277.02/375,981.75
  6. Step 6: Final answer
    x = 1,993,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.