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Finding the Third Proportional to 230,197 and 506,076

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Solution

The third proportional to 230,197 and 506,076 is: 1,112,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,197 : 506,076 = 506,076 : x
  2. Step 2: Convert to fraction form
    230,197/506,076 = 506,076/x
  3. Step 3: Cross multiply
    230,197x = 506,076 × 506,076
  4. Step 4: Simplify right side
    230,197x = 256,112,917,776
  5. Step 5: Solve for x
    x = 256,112,917,776/230,197
  6. Step 6: Final answer
    x = 1,112,581.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.