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Finding the Third Proportional to 341,572 and 491,981

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Solution

The third proportional to 341,572 and 491,981 is: 708,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,572 : 491,981 = 491,981 : x
  2. Step 2: Convert to fraction form
    341,572/491,981 = 491,981/x
  3. Step 3: Cross multiply
    341,572x = 491,981 × 491,981
  4. Step 4: Simplify right side
    341,572x = 242,045,304,361
  5. Step 5: Solve for x
    x = 242,045,304,361/341,572
  6. Step 6: Final answer
    x = 708,621.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.