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Finding the Third Proportional to 511,432 and 767,146

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Solution

The third proportional to 511,432 and 767,146 is: 1,150,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,432 : 767,146 = 767,146 : x
  2. Step 2: Convert to fraction form
    511,432/767,146 = 767,146/x
  3. Step 3: Cross multiply
    511,432x = 767,146 × 767,146
  4. Step 4: Simplify right side
    511,432x = 588,512,985,316
  5. Step 5: Solve for x
    x = 588,512,985,316/511,432
  6. Step 6: Final answer
    x = 1,150,716.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.