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Finding the Third Proportional to 232,122.38 and 508,532.63

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Solution

The third proportional to 232,122.38 and 508,532.63 is: 1,114,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,122.38 : 508,532.63 = 508,532.63 : x
  2. Step 2: Convert to fraction form
    232,122.38/508,532.63 = 508,532.63/x
  3. Step 3: Cross multiply
    232,122.38x = 508,532.63 × 508,532.63
  4. Step 4: Simplify right side
    232,122.38x = 258,605,430,689.39
  5. Step 5: Solve for x
    x = 258,605,430,689.39/232,122.38
  6. Step 6: Final answer
    x = 1,114,090.92

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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.