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Finding the Third Proportional to 336,487 and 517,202

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Solution

The third proportional to 336,487 and 517,202 is: 794,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,487 : 517,202 = 517,202 : x
  2. Step 2: Convert to fraction form
    336,487/517,202 = 517,202/x
  3. Step 3: Cross multiply
    336,487x = 517,202 × 517,202
  4. Step 4: Simplify right side
    336,487x = 267,497,908,804
  5. Step 5: Solve for x
    x = 267,497,908,804/336,487
  6. Step 6: Final answer
    x = 794,972.49

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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.