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Finding the Third Proportional to 220,927.50 and 457,710.75

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Solution

The third proportional to 220,927.50 and 457,710.75 is: 948,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,927.50 : 457,710.75 = 457,710.75 : x
  2. Step 2: Convert to fraction form
    220,927.50/457,710.75 = 457,710.75/x
  3. Step 3: Cross multiply
    220,927.50x = 457,710.75 × 457,710.75
  4. Step 4: Simplify right side
    220,927.50x = 209,499,130,665.56
  5. Step 5: Solve for x
    x = 209,499,130,665.56/220,927.50
  6. Step 6: Final answer
    x = 948,270.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.