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Finding the Third Proportional to 232,884 and 360,702

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Solution

The third proportional to 232,884 and 360,702 is: 558,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884 : 360,702 = 360,702 : x
  2. Step 2: Convert to fraction form
    232,884/360,702 = 360,702/x
  3. Step 3: Cross multiply
    232,884x = 360,702 × 360,702
  4. Step 4: Simplify right side
    232,884x = 130,105,932,804
  5. Step 5: Solve for x
    x = 130,105,932,804/232,884
  6. Step 6: Final answer
    x = 558,672.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.