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Finding the Third Proportional to 224,527.50 and 484,668

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Solution

The third proportional to 224,527.50 and 484,668 is: 1,046,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,527.50 : 484,668 = 484,668 : x
  2. Step 2: Convert to fraction form
    224,527.50/484,668 = 484,668/x
  3. Step 3: Cross multiply
    224,527.50x = 484,668 × 484,668
  4. Step 4: Simplify right side
    224,527.50x = 234,903,070,224
  5. Step 5: Solve for x
    x = 234,903,070,224/224,527.50
  6. Step 6: Final answer
    x = 1,046,210.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.