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Finding the Third Proportional to 209,741.50 and 454,475

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Solution

The third proportional to 209,741.50 and 454,475 is: 984,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,741.50 : 454,475 = 454,475 : x
  2. Step 2: Convert to fraction form
    209,741.50/454,475 = 454,475/x
  3. Step 3: Cross multiply
    209,741.50x = 454,475 × 454,475
  4. Step 4: Simplify right side
    209,741.50x = 206,547,525,625
  5. Step 5: Solve for x
    x = 206,547,525,625/209,741.50
  6. Step 6: Final answer
    x = 984,771.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.