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Finding the Third Proportional to 403,467 and 606,942

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Solution

The third proportional to 403,467 and 606,942 is: 913,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,467 : 606,942 = 606,942 : x
  2. Step 2: Convert to fraction form
    403,467/606,942 = 606,942/x
  3. Step 3: Cross multiply
    403,467x = 606,942 × 606,942
  4. Step 4: Simplify right side
    403,467x = 368,378,591,364
  5. Step 5: Solve for x
    x = 368,378,591,364/403,467
  6. Step 6: Final answer
    x = 913,032.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.