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Finding the Third Proportional to 587,339 and 933,521

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Solution

The third proportional to 587,339 and 933,521 is: 1,483,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,339 : 933,521 = 933,521 : x
  2. Step 2: Convert to fraction form
    587,339/933,521 = 933,521/x
  3. Step 3: Cross multiply
    587,339x = 933,521 × 933,521
  4. Step 4: Simplify right side
    587,339x = 871,461,457,441
  5. Step 5: Solve for x
    x = 871,461,457,441/587,339
  6. Step 6: Final answer
    x = 1,483,745.26

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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.