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Finding the Third Proportional to 565 and 831.50

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Solution

The third proportional to 565 and 831.50 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 831.50 = 831.50 : x
  2. Step 2: Convert to fraction form
    565/831.50 = 831.50/x
  3. Step 3: Cross multiply
    565x = 831.50 × 831.50
  4. Step 4: Simplify right side
    565x = 691,392.25
  5. Step 5: Solve for x
    x = 691,392.25/565
  6. Step 6: Final answer
    x = 1,223.70

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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.