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Finding the Third Proportional to 356,525 and 534,864

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Solution

The third proportional to 356,525 and 534,864 is: 802,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,525 : 534,864 = 534,864 : x
  2. Step 2: Convert to fraction form
    356,525/534,864 = 534,864/x
  3. Step 3: Cross multiply
    356,525x = 534,864 × 534,864
  4. Step 4: Simplify right side
    356,525x = 286,079,498,496
  5. Step 5: Solve for x
    x = 286,079,498,496/356,525
  6. Step 6: Final answer
    x = 802,410.77

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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.