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Finding the Third Proportional to 452,749.50 and 612,694.13

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Solution

The third proportional to 452,749.50 and 612,694.13 is: 829,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,749.50 : 612,694.13 = 612,694.13 : x
  2. Step 2: Convert to fraction form
    452,749.50/612,694.13 = 612,694.13/x
  3. Step 3: Cross multiply
    452,749.50x = 612,694.13 × 612,694.13
  4. Step 4: Simplify right side
    452,749.50x = 375,394,090,809.52
  5. Step 5: Solve for x
    x = 375,394,090,809.52/452,749.50
  6. Step 6: Final answer
    x = 829,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.