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Finding the Third Proportional to 232,890 and 360,714

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Solution

The third proportional to 232,890 and 360,714 is: 558,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,890 : 360,714 = 360,714 : x
  2. Step 2: Convert to fraction form
    232,890/360,714 = 360,714/x
  3. Step 3: Cross multiply
    232,890x = 360,714 × 360,714
  4. Step 4: Simplify right side
    232,890x = 130,114,589,796
  5. Step 5: Solve for x
    x = 130,114,589,796/232,890
  6. Step 6: Final answer
    x = 558,695.48

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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.