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Finding the Third Proportional to 224,529.50 and 486,430.50

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Solution

The third proportional to 224,529.50 and 486,430.50 is: 1,053,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,529.50 : 486,430.50 = 486,430.50 : x
  2. Step 2: Convert to fraction form
    224,529.50/486,430.50 = 486,430.50/x
  3. Step 3: Cross multiply
    224,529.50x = 486,430.50 × 486,430.50
  4. Step 4: Simplify right side
    224,529.50x = 236,614,631,330.25
  5. Step 5: Solve for x
    x = 236,614,631,330.25/224,529.50
  6. Step 6: Final answer
    x = 1,053,824.25

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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.