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Finding the Third Proportional to 349,534 and 764,484

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Solution

The third proportional to 349,534 and 764,484 is: 1,672,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,534 : 764,484 = 764,484 : x
  2. Step 2: Convert to fraction form
    349,534/764,484 = 764,484/x
  3. Step 3: Cross multiply
    349,534x = 764,484 × 764,484
  4. Step 4: Simplify right side
    349,534x = 584,435,786,256
  5. Step 5: Solve for x
    x = 584,435,786,256/349,534
  6. Step 6: Final answer
    x = 1,672,042.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.