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Finding the Third Proportional to 585.14 and 894.80

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Solution

The third proportional to 585.14 and 894.80 is: 1,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 894.80 = 894.80 : x
  2. Step 2: Convert to fraction form
    585.14/894.80 = 894.80/x
  3. Step 3: Cross multiply
    585.14x = 894.80 × 894.80
  4. Step 4: Simplify right side
    585.14x = 800,661.45
  5. Step 5: Solve for x
    x = 800,661.45/585.14
  6. Step 6: Final answer
    x = 1,368.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.