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Finding the Third Proportional to 210,471.75 and 454,612.50

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Solution

The third proportional to 210,471.75 and 454,612.50 is: 981,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.75 : 454,612.50 = 454,612.50 : x
  2. Step 2: Convert to fraction form
    210,471.75/454,612.50 = 454,612.50/x
  3. Step 3: Cross multiply
    210,471.75x = 454,612.50 × 454,612.50
  4. Step 4: Simplify right side
    210,471.75x = 206,672,525,156.25
  5. Step 5: Solve for x
    x = 206,672,525,156.25/210,471.75
  6. Step 6: Final answer
    x = 981,949.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.