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Finding the Third Proportional to 395,102.81 and 837,226.13

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Solution

The third proportional to 395,102.81 and 837,226.13 is: 1,774,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,102.81 : 837,226.13 = 837,226.13 : x
  2. Step 2: Convert to fraction form
    395,102.81/837,226.13 = 837,226.13/x
  3. Step 3: Cross multiply
    395,102.81x = 837,226.13 × 837,226.13
  4. Step 4: Simplify right side
    395,102.81x = 700,947,584,382.52
  5. Step 5: Solve for x
    x = 700,947,584,382.52/395,102.81
  6. Step 6: Final answer
    x = 1,774,089.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.