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Finding the Third Proportional to 356,470 and 792,634

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Solution

The third proportional to 356,470 and 792,634 is: 1,762,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,470 : 792,634 = 792,634 : x
  2. Step 2: Convert to fraction form
    356,470/792,634 = 792,634/x
  3. Step 3: Cross multiply
    356,470x = 792,634 × 792,634
  4. Step 4: Simplify right side
    356,470x = 628,268,657,956
  5. Step 5: Solve for x
    x = 628,268,657,956/356,470
  6. Step 6: Final answer
    x = 1,762,472.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.