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Finding the Third Proportional to 545,252 and 827,688

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Solution

The third proportional to 545,252 and 827,688 is: 1,256,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,252 : 827,688 = 827,688 : x
  2. Step 2: Convert to fraction form
    545,252/827,688 = 827,688/x
  3. Step 3: Cross multiply
    545,252x = 827,688 × 827,688
  4. Step 4: Simplify right side
    545,252x = 685,067,425,344
  5. Step 5: Solve for x
    x = 685,067,425,344/545,252
  6. Step 6: Final answer
    x = 1,256,423.50

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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.