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Finding the Third Proportional to 336,350 and 491,572

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Solution

The third proportional to 336,350 and 491,572 is: 718,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,350 : 491,572 = 491,572 : x
  2. Step 2: Convert to fraction form
    336,350/491,572 = 491,572/x
  3. Step 3: Cross multiply
    336,350x = 491,572 × 491,572
  4. Step 4: Simplify right side
    336,350x = 241,643,031,184
  5. Step 5: Solve for x
    x = 241,643,031,184/336,350
  6. Step 6: Final answer
    x = 718,427.33

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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.