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Finding the Third Proportional to 232,886 and 360,705

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Solution

The third proportional to 232,886 and 360,705 is: 558,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,886 : 360,705 = 360,705 : x
  2. Step 2: Convert to fraction form
    232,886/360,705 = 360,705/x
  3. Step 3: Cross multiply
    232,886x = 360,705 × 360,705
  4. Step 4: Simplify right side
    232,886x = 130,108,097,025
  5. Step 5: Solve for x
    x = 130,108,097,025/232,886
  6. Step 6: Final answer
    x = 558,677.19

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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.