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Finding the Third Proportional to 366,931 and 788,115

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Solution

The third proportional to 366,931 and 788,115 is: 1,692,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931 : 788,115 = 788,115 : x
  2. Step 2: Convert to fraction form
    366,931/788,115 = 788,115/x
  3. Step 3: Cross multiply
    366,931x = 788,115 × 788,115
  4. Step 4: Simplify right side
    366,931x = 621,125,253,225
  5. Step 5: Solve for x
    x = 621,125,253,225/366,931
  6. Step 6: Final answer
    x = 1,692,757.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.