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Finding the Third Proportional to 376,245 and 803,521

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Solution

The third proportional to 376,245 and 803,521 is: 1,716,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,245 : 803,521 = 803,521 : x
  2. Step 2: Convert to fraction form
    376,245/803,521 = 803,521/x
  3. Step 3: Cross multiply
    376,245x = 803,521 × 803,521
  4. Step 4: Simplify right side
    376,245x = 645,645,997,441
  5. Step 5: Solve for x
    x = 645,645,997,441/376,245
  6. Step 6: Final answer
    x = 1,716,025.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.