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Finding the Third Proportional to 376,171 and 813,698.50

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Solution

The third proportional to 376,171 and 813,698.50 is: 1,760,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,171 : 813,698.50 = 813,698.50 : x
  2. Step 2: Convert to fraction form
    376,171/813,698.50 = 813,698.50/x
  3. Step 3: Cross multiply
    376,171x = 813,698.50 × 813,698.50
  4. Step 4: Simplify right side
    376,171x = 662,105,248,902.25
  5. Step 5: Solve for x
    x = 662,105,248,902.25/376,171
  6. Step 6: Final answer
    x = 1,760,117.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.