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Finding the Third Proportional to 284.50 and 528.50

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Solution

The third proportional to 284.50 and 528.50 is: 981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 528.50 = 528.50 : x
  2. Step 2: Convert to fraction form
    284.50/528.50 = 528.50/x
  3. Step 3: Cross multiply
    284.50x = 528.50 × 528.50
  4. Step 4: Simplify right side
    284.50x = 279,312.25
  5. Step 5: Solve for x
    x = 279,312.25/284.50
  6. Step 6: Final answer
    x = 981.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.