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Finding the Third Proportional to 220,088.25 and 457,395.75

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Solution

The third proportional to 220,088.25 and 457,395.75 is: 950,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,088.25 : 457,395.75 = 457,395.75 : x
  2. Step 2: Convert to fraction form
    220,088.25/457,395.75 = 457,395.75/x
  3. Step 3: Cross multiply
    220,088.25x = 457,395.75 × 457,395.75
  4. Step 4: Simplify right side
    220,088.25x = 209,210,872,118.06
  5. Step 5: Solve for x
    x = 209,210,872,118.06/220,088.25
  6. Step 6: Final answer
    x = 950,577.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.