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Finding the Third Proportional to 452,142 and 622,846.13

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Solution

The third proportional to 452,142 and 622,846.13 is: 857,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,142 : 622,846.13 = 622,846.13 : x
  2. Step 2: Convert to fraction form
    452,142/622,846.13 = 622,846.13/x
  3. Step 3: Cross multiply
    452,142x = 622,846.13 × 622,846.13
  4. Step 4: Simplify right side
    452,142x = 387,937,295,427.52
  5. Step 5: Solve for x
    x = 387,937,295,427.52/452,142
  6. Step 6: Final answer
    x = 857,998.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.