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Finding the Third Proportional to 401,598 and 588,981

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Solution

The third proportional to 401,598 and 588,981 is: 863,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,598 : 588,981 = 588,981 : x
  2. Step 2: Convert to fraction form
    401,598/588,981 = 588,981/x
  3. Step 3: Cross multiply
    401,598x = 588,981 × 588,981
  4. Step 4: Simplify right side
    401,598x = 346,898,618,361
  5. Step 5: Solve for x
    x = 346,898,618,361/401,598
  6. Step 6: Final answer
    x = 863,795.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.