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Finding the Third Proportional to 336,484 and 517,197

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Solution

The third proportional to 336,484 and 517,197 is: 794,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,484 : 517,197 = 517,197 : x
  2. Step 2: Convert to fraction form
    336,484/517,197 = 517,197/x
  3. Step 3: Cross multiply
    336,484x = 517,197 × 517,197
  4. Step 4: Simplify right side
    336,484x = 267,492,736,809
  5. Step 5: Solve for x
    x = 267,492,736,809/336,484
  6. Step 6: Final answer
    x = 794,964.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.