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Finding the Third Proportional to 589.88 and 933.94

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Solution

The third proportional to 589.88 and 933.94 is: 1,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 933.94 = 933.94 : x
  2. Step 2: Convert to fraction form
    589.88/933.94 = 933.94/x
  3. Step 3: Cross multiply
    589.88x = 933.94 × 933.94
  4. Step 4: Simplify right side
    589.88x = 872,239.25
  5. Step 5: Solve for x
    x = 872,239.25/589.88
  6. Step 6: Final answer
    x = 1,478.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.