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Finding the Third Proportional to 567.50 and 905.25

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Solution

The third proportional to 567.50 and 905.25 is: 1,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 905.25 = 905.25 : x
  2. Step 2: Convert to fraction form
    567.50/905.25 = 905.25/x
  3. Step 3: Cross multiply
    567.50x = 905.25 × 905.25
  4. Step 4: Simplify right side
    567.50x = 819,477.56
  5. Step 5: Solve for x
    x = 819,477.56/567.50
  6. Step 6: Final answer
    x = 1,444.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.