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Finding the Third Proportional to 528 and 697.50

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Solution

The third proportional to 528 and 697.50 is: 921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 697.50 = 697.50 : x
  2. Step 2: Convert to fraction form
    528/697.50 = 697.50/x
  3. Step 3: Cross multiply
    528x = 697.50 × 697.50
  4. Step 4: Simplify right side
    528x = 486,506.25
  5. Step 5: Solve for x
    x = 486,506.25/528
  6. Step 6: Final answer
    x = 921.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.