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Finding the Third Proportional to 398,974 and 610,391

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Solution

The third proportional to 398,974 and 610,391 is: 933,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,974 : 610,391 = 610,391 : x
  2. Step 2: Convert to fraction form
    398,974/610,391 = 610,391/x
  3. Step 3: Cross multiply
    398,974x = 610,391 × 610,391
  4. Step 4: Simplify right side
    398,974x = 372,577,172,881
  5. Step 5: Solve for x
    x = 372,577,172,881/398,974
  6. Step 6: Final answer
    x = 933,838.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.