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Finding the Third Proportional to 460 and 933.50

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Solution

The third proportional to 460 and 933.50 is: 1,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 933.50 = 933.50 : x
  2. Step 2: Convert to fraction form
    460/933.50 = 933.50/x
  3. Step 3: Cross multiply
    460x = 933.50 × 933.50
  4. Step 4: Simplify right side
    460x = 871,422.25
  5. Step 5: Solve for x
    x = 871,422.25/460
  6. Step 6: Final answer
    x = 1,894.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.