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Finding the Third Proportional to 587,340 and 933,522

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Solution

The third proportional to 587,340 and 933,522 is: 1,483,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,340 : 933,522 = 933,522 : x
  2. Step 2: Convert to fraction form
    587,340/933,522 = 933,522/x
  3. Step 3: Cross multiply
    587,340x = 933,522 × 933,522
  4. Step 4: Simplify right side
    587,340x = 871,463,324,484
  5. Step 5: Solve for x
    x = 871,463,324,484/587,340
  6. Step 6: Final answer
    x = 1,483,745.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.