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Finding the Third Proportional to 382,708.13 and 837,978.75

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Solution

The third proportional to 382,708.13 and 837,978.75 is: 1,834,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,708.13 : 837,978.75 = 837,978.75 : x
  2. Step 2: Convert to fraction form
    382,708.13/837,978.75 = 837,978.75/x
  3. Step 3: Cross multiply
    382,708.13x = 837,978.75 × 837,978.75
  4. Step 4: Simplify right side
    382,708.13x = 702,208,385,451.56
  5. Step 5: Solve for x
    x = 702,208,385,451.56/382,708.13
  6. Step 6: Final answer
    x = 1,834,840.55

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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.