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Finding the Third Proportional to 224,004.38 and 492,295.50

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Solution

The third proportional to 224,004.38 and 492,295.50 is: 1,081,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,004.38 : 492,295.50 = 492,295.50 : x
  2. Step 2: Convert to fraction form
    224,004.38/492,295.50 = 492,295.50/x
  3. Step 3: Cross multiply
    224,004.38x = 492,295.50 × 492,295.50
  4. Step 4: Simplify right side
    224,004.38x = 242,354,859,320.25
  5. Step 5: Solve for x
    x = 242,354,859,320.25/224,004.38
  6. Step 6: Final answer
    x = 1,081,920.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.