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Finding the Third Proportional to 402,180 and 597,804

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Solution

The third proportional to 402,180 and 597,804 is: 888,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,180 : 597,804 = 597,804 : x
  2. Step 2: Convert to fraction form
    402,180/597,804 = 597,804/x
  3. Step 3: Cross multiply
    402,180x = 597,804 × 597,804
  4. Step 4: Simplify right side
    402,180x = 357,369,622,416
  5. Step 5: Solve for x
    x = 357,369,622,416/402,180
  6. Step 6: Final answer
    x = 888,581.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.