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Finding the Third Proportional to 224,746 and 482,841

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Solution

The third proportional to 224,746 and 482,841 is: 1,037,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,746 : 482,841 = 482,841 : x
  2. Step 2: Convert to fraction form
    224,746/482,841 = 482,841/x
  3. Step 3: Cross multiply
    224,746x = 482,841 × 482,841
  4. Step 4: Simplify right side
    224,746x = 233,135,431,281
  5. Step 5: Solve for x
    x = 233,135,431,281/224,746
  6. Step 6: Final answer
    x = 1,037,328.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.