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Finding the Third Proportional to 510,900 and 773,426

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Solution

The third proportional to 510,900 and 773,426 is: 1,170,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,900 : 773,426 = 773,426 : x
  2. Step 2: Convert to fraction form
    510,900/773,426 = 773,426/x
  3. Step 3: Cross multiply
    510,900x = 773,426 × 773,426
  4. Step 4: Simplify right side
    510,900x = 598,187,777,476
  5. Step 5: Solve for x
    x = 598,187,777,476/510,900
  6. Step 6: Final answer
    x = 1,170,851.00

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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.