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Finding the Third Proportional to 232,122 and 508,530

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Solution

The third proportional to 232,122 and 508,530 is: 1,114,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,122 : 508,530 = 508,530 : x
  2. Step 2: Convert to fraction form
    232,122/508,530 = 508,530/x
  3. Step 3: Cross multiply
    232,122x = 508,530 × 508,530
  4. Step 4: Simplify right side
    232,122x = 258,602,760,900
  5. Step 5: Solve for x
    x = 258,602,760,900/232,122
  6. Step 6: Final answer
    x = 1,114,081.22

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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.