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Finding the Third Proportional to 230,988 and 506,112

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Solution

The third proportional to 230,988 and 506,112 is: 1,108,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,988 : 506,112 = 506,112 : x
  2. Step 2: Convert to fraction form
    230,988/506,112 = 506,112/x
  3. Step 3: Cross multiply
    230,988x = 506,112 × 506,112
  4. Step 4: Simplify right side
    230,988x = 256,149,356,544
  5. Step 5: Solve for x
    x = 256,149,356,544/230,988
  6. Step 6: Final answer
    x = 1,108,929.28

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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.