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Finding the Third Proportional to 369.88 and 569.22

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Solution

The third proportional to 369.88 and 569.22 is: 876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 569.22 = 569.22 : x
  2. Step 2: Convert to fraction form
    369.88/569.22 = 569.22/x
  3. Step 3: Cross multiply
    369.88x = 569.22 × 569.22
  4. Step 4: Simplify right side
    369.88x = 324,009.99
  5. Step 5: Solve for x
    x = 324,009.99/369.88
  6. Step 6: Final answer
    x = 876.00

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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.