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Finding the Third Proportional to 371,288 and 597,828

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Solution

The third proportional to 371,288 and 597,828 is: 962,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,288 : 597,828 = 597,828 : x
  2. Step 2: Convert to fraction form
    371,288/597,828 = 597,828/x
  3. Step 3: Cross multiply
    371,288x = 597,828 × 597,828
  4. Step 4: Simplify right side
    371,288x = 357,398,317,584
  5. Step 5: Solve for x
    x = 357,398,317,584/371,288
  6. Step 6: Final answer
    x = 962,590.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.