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Finding the Third Proportional to 453,849.75 and 616,700.25

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Solution

The third proportional to 453,849.75 and 616,700.25 is: 837,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,849.75 : 616,700.25 = 616,700.25 : x
  2. Step 2: Convert to fraction form
    453,849.75/616,700.25 = 616,700.25/x
  3. Step 3: Cross multiply
    453,849.75x = 616,700.25 × 616,700.25
  4. Step 4: Simplify right side
    453,849.75x = 380,319,198,350.06
  5. Step 5: Solve for x
    x = 380,319,198,350.06/453,849.75
  6. Step 6: Final answer
    x = 837,984.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.