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Finding the Third Proportional to 510,768 and 773,253

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Solution

The third proportional to 510,768 and 773,253 is: 1,170,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,768 : 773,253 = 773,253 : x
  2. Step 2: Convert to fraction form
    510,768/773,253 = 773,253/x
  3. Step 3: Cross multiply
    510,768x = 773,253 × 773,253
  4. Step 4: Simplify right side
    510,768x = 597,920,202,009
  5. Step 5: Solve for x
    x = 597,920,202,009/510,768
  6. Step 6: Final answer
    x = 1,170,629.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.