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Finding the Third Proportional to 224,533.50 and 482,331

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Solution

The third proportional to 224,533.50 and 482,331 is: 1,036,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,533.50 : 482,331 = 482,331 : x
  2. Step 2: Convert to fraction form
    224,533.50/482,331 = 482,331/x
  3. Step 3: Cross multiply
    224,533.50x = 482,331 × 482,331
  4. Step 4: Simplify right side
    224,533.50x = 232,643,193,561
  5. Step 5: Solve for x
    x = 232,643,193,561/224,533.50
  6. Step 6: Final answer
    x = 1,036,117.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.