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Finding the Third Proportional to 374,082 and 801,329

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Solution

The third proportional to 374,082 and 801,329 is: 1,716,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,082 : 801,329 = 801,329 : x
  2. Step 2: Convert to fraction form
    374,082/801,329 = 801,329/x
  3. Step 3: Cross multiply
    374,082x = 801,329 × 801,329
  4. Step 4: Simplify right side
    374,082x = 642,128,166,241
  5. Step 5: Solve for x
    x = 642,128,166,241/374,082
  6. Step 6: Final answer
    x = 1,716,543.88

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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.