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Finding the Third Proportional to 224,584.50 and 487,312.50

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Solution

The third proportional to 224,584.50 and 487,312.50 is: 1,057,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,584.50 : 487,312.50 = 487,312.50 : x
  2. Step 2: Convert to fraction form
    224,584.50/487,312.50 = 487,312.50/x
  3. Step 3: Cross multiply
    224,584.50x = 487,312.50 × 487,312.50
  4. Step 4: Simplify right side
    224,584.50x = 237,473,472,656.25
  5. Step 5: Solve for x
    x = 237,473,472,656.25/224,584.50
  6. Step 6: Final answer
    x = 1,057,390.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.