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Finding the Third Proportional to 233,715 and 511,656

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Solution

The third proportional to 233,715 and 511,656 is: 1,120,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,715 : 511,656 = 511,656 : x
  2. Step 2: Convert to fraction form
    233,715/511,656 = 511,656/x
  3. Step 3: Cross multiply
    233,715x = 511,656 × 511,656
  4. Step 4: Simplify right side
    233,715x = 261,791,862,336
  5. Step 5: Solve for x
    x = 261,791,862,336/233,715
  6. Step 6: Final answer
    x = 1,120,132.91

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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.