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Finding the Third Proportional to 585.84 and 711.84

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Solution

The third proportional to 585.84 and 711.84 is: 864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 711.84 = 711.84 : x
  2. Step 2: Convert to fraction form
    585.84/711.84 = 711.84/x
  3. Step 3: Cross multiply
    585.84x = 711.84 × 711.84
  4. Step 4: Simplify right side
    585.84x = 506,721.52
  5. Step 5: Solve for x
    x = 506,721.52/585.84
  6. Step 6: Final answer
    x = 864.94

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.