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Finding the Third Proportional to 512,996 and 766,622

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Solution

The third proportional to 512,996 and 766,622 is: 1,145,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996 : 766,622 = 766,622 : x
  2. Step 2: Convert to fraction form
    512,996/766,622 = 766,622/x
  3. Step 3: Cross multiply
    512,996x = 766,622 × 766,622
  4. Step 4: Simplify right side
    512,996x = 587,709,290,884
  5. Step 5: Solve for x
    x = 587,709,290,884/512,996
  6. Step 6: Final answer
    x = 1,145,641.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.