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Finding the Third Proportional to 401,059 and 599,560

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Solution

The third proportional to 401,059 and 599,560 is: 896,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,059 : 599,560 = 599,560 : x
  2. Step 2: Convert to fraction form
    401,059/599,560 = 599,560/x
  3. Step 3: Cross multiply
    401,059x = 599,560 × 599,560
  4. Step 4: Simplify right side
    401,059x = 359,472,193,600
  5. Step 5: Solve for x
    x = 359,472,193,600/401,059
  6. Step 6: Final answer
    x = 896,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.