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Finding the Third Proportional to 224,479.69 and 492,616.69

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Solution

The third proportional to 224,479.69 and 492,616.69 is: 1,081,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,479.69 : 492,616.69 = 492,616.69 : x
  2. Step 2: Convert to fraction form
    224,479.69/492,616.69 = 492,616.69/x
  3. Step 3: Cross multiply
    224,479.69x = 492,616.69 × 492,616.69
  4. Step 4: Simplify right side
    224,479.69x = 242,671,200,803.47
  5. Step 5: Solve for x
    x = 242,671,200,803.47/224,479.69
  6. Step 6: Final answer
    x = 1,081,038.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.