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Finding the Third Proportional to 286,398 and 420,828

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Solution

The third proportional to 286,398 and 420,828 is: 618,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,398 : 420,828 = 420,828 : x
  2. Step 2: Convert to fraction form
    286,398/420,828 = 420,828/x
  3. Step 3: Cross multiply
    286,398x = 420,828 × 420,828
  4. Step 4: Simplify right side
    286,398x = 177,096,205,584
  5. Step 5: Solve for x
    x = 177,096,205,584/286,398
  6. Step 6: Final answer
    x = 618,356.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.