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Finding the Third Proportional to 230,991 and 506,118

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Solution

The third proportional to 230,991 and 506,118 is: 1,108,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991 : 506,118 = 506,118 : x
  2. Step 2: Convert to fraction form
    230,991/506,118 = 506,118/x
  3. Step 3: Cross multiply
    230,991x = 506,118 × 506,118
  4. Step 4: Simplify right side
    230,991x = 256,155,429,924
  5. Step 5: Solve for x
    x = 256,155,429,924/230,991
  6. Step 6: Final answer
    x = 1,108,941.17

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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.