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Finding the Third Proportional to 545,254 and 827,691

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Solution

The third proportional to 545,254 and 827,691 is: 1,256,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,254 : 827,691 = 827,691 : x
  2. Step 2: Convert to fraction form
    545,254/827,691 = 827,691/x
  3. Step 3: Cross multiply
    545,254x = 827,691 × 827,691
  4. Step 4: Simplify right side
    545,254x = 685,072,391,481
  5. Step 5: Solve for x
    x = 685,072,391,481/545,254
  6. Step 6: Final answer
    x = 1,256,428.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.