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Finding the Third Proportional to 224,748 and 482,845

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Solution

The third proportional to 224,748 and 482,845 is: 1,037,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 482,845 = 482,845 : x
  2. Step 2: Convert to fraction form
    224,748/482,845 = 482,845/x
  3. Step 3: Cross multiply
    224,748x = 482,845 × 482,845
  4. Step 4: Simplify right side
    224,748x = 233,139,294,025
  5. Step 5: Solve for x
    x = 233,139,294,025/224,748
  6. Step 6: Final answer
    x = 1,037,336.46

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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.