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Finding the Third Proportional to 224,415 and 484,495.50

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Solution

The third proportional to 224,415 and 484,495.50 is: 1,045,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,415 : 484,495.50 = 484,495.50 : x
  2. Step 2: Convert to fraction form
    224,415/484,495.50 = 484,495.50/x
  3. Step 3: Cross multiply
    224,415x = 484,495.50 × 484,495.50
  4. Step 4: Simplify right side
    224,415x = 234,735,889,520.25
  5. Step 5: Solve for x
    x = 234,735,889,520.25/224,415
  6. Step 6: Final answer
    x = 1,045,990.19

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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.