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Finding the Third Proportional to 369,322 and 567,098

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Solution

The third proportional to 369,322 and 567,098 is: 870,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,322 : 567,098 = 567,098 : x
  2. Step 2: Convert to fraction form
    369,322/567,098 = 567,098/x
  3. Step 3: Cross multiply
    369,322x = 567,098 × 567,098
  4. Step 4: Simplify right side
    369,322x = 321,600,141,604
  5. Step 5: Solve for x
    x = 321,600,141,604/369,322
  6. Step 6: Final answer
    x = 870,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.