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Finding the Third Proportional to 218,254.50 and 482,395.50

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Solution

The third proportional to 218,254.50 and 482,395.50 is: 1,066,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,254.50 : 482,395.50 = 482,395.50 : x
  2. Step 2: Convert to fraction form
    218,254.50/482,395.50 = 482,395.50/x
  3. Step 3: Cross multiply
    218,254.50x = 482,395.50 × 482,395.50
  4. Step 4: Simplify right side
    218,254.50x = 232,705,418,420.25
  5. Step 5: Solve for x
    x = 232,705,418,420.25/218,254.50
  6. Step 6: Final answer
    x = 1,066,211.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.