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Finding the Third Proportional to 233,988 and 362,979

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Solution

The third proportional to 233,988 and 362,979 is: 563,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988 : 362,979 = 362,979 : x
  2. Step 2: Convert to fraction form
    233,988/362,979 = 362,979/x
  3. Step 3: Cross multiply
    233,988x = 362,979 × 362,979
  4. Step 4: Simplify right side
    233,988x = 131,753,754,441
  5. Step 5: Solve for x
    x = 131,753,754,441/233,988
  6. Step 6: Final answer
    x = 563,079.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.