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Finding the Third Proportional to 376,000 and 814,316

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Solution

The third proportional to 376,000 and 814,316 is: 1,763,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,000 : 814,316 = 814,316 : x
  2. Step 2: Convert to fraction form
    376,000/814,316 = 814,316/x
  3. Step 3: Cross multiply
    376,000x = 814,316 × 814,316
  4. Step 4: Simplify right side
    376,000x = 663,110,547,856
  5. Step 5: Solve for x
    x = 663,110,547,856/376,000
  6. Step 6: Final answer
    x = 1,763,591.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.