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Finding the Third Proportional to 232,110 and 507,960

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Solution

The third proportional to 232,110 and 507,960 is: 1,111,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,110 : 507,960 = 507,960 : x
  2. Step 2: Convert to fraction form
    232,110/507,960 = 507,960/x
  3. Step 3: Cross multiply
    232,110x = 507,960 × 507,960
  4. Step 4: Simplify right side
    232,110x = 258,023,361,600
  5. Step 5: Solve for x
    x = 258,023,361,600/232,110
  6. Step 6: Final answer
    x = 1,111,642.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.