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Finding the Third Proportional to 386,473.50 and 591,201

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Solution

The third proportional to 386,473.50 and 591,201 is: 904,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,473.50 : 591,201 = 591,201 : x
  2. Step 2: Convert to fraction form
    386,473.50/591,201 = 591,201/x
  3. Step 3: Cross multiply
    386,473.50x = 591,201 × 591,201
  4. Step 4: Simplify right side
    386,473.50x = 349,518,622,401
  5. Step 5: Solve for x
    x = 349,518,622,401/386,473.50
  6. Step 6: Final answer
    x = 904,379.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.