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Finding the Third Proportional to 361,803 and 531,864

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Solution

The third proportional to 361,803 and 531,864 is: 781,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,803 : 531,864 = 531,864 : x
  2. Step 2: Convert to fraction form
    361,803/531,864 = 531,864/x
  3. Step 3: Cross multiply
    361,803x = 531,864 × 531,864
  4. Step 4: Simplify right side
    361,803x = 282,879,314,496
  5. Step 5: Solve for x
    x = 282,879,314,496/361,803
  6. Step 6: Final answer
    x = 781,860.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.