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Finding the Third Proportional to 336,346 and 491,566

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Solution

The third proportional to 336,346 and 491,566 is: 718,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,346 : 491,566 = 491,566 : x
  2. Step 2: Convert to fraction form
    336,346/491,566 = 491,566/x
  3. Step 3: Cross multiply
    336,346x = 491,566 × 491,566
  4. Step 4: Simplify right side
    336,346x = 241,637,132,356
  5. Step 5: Solve for x
    x = 241,637,132,356/336,346
  6. Step 6: Final answer
    x = 718,418.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.