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Finding the Third Proportional to 224,737.88 and 482,827.50

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Solution

The third proportional to 224,737.88 and 482,827.50 is: 1,037,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,737.88 : 482,827.50 = 482,827.50 : x
  2. Step 2: Convert to fraction form
    224,737.88/482,827.50 = 482,827.50/x
  3. Step 3: Cross multiply
    224,737.88x = 482,827.50 × 482,827.50
  4. Step 4: Simplify right side
    224,737.88x = 233,122,394,756.25
  5. Step 5: Solve for x
    x = 233,122,394,756.25/224,737.88
  6. Step 6: Final answer
    x = 1,037,308.00

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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.