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Finding the Third Proportional to 338,314 and 801,478

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Solution

The third proportional to 338,314 and 801,478 is: 1,898,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,314 : 801,478 = 801,478 : x
  2. Step 2: Convert to fraction form
    338,314/801,478 = 801,478/x
  3. Step 3: Cross multiply
    338,314x = 801,478 × 801,478
  4. Step 4: Simplify right side
    338,314x = 642,366,984,484
  5. Step 5: Solve for x
    x = 642,366,984,484/338,314
  6. Step 6: Final answer
    x = 1,898,730.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.