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Finding the Third Proportional to 387,311 and 528,025

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Solution

The third proportional to 387,311 and 528,025 is: 719,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,311 : 528,025 = 528,025 : x
  2. Step 2: Convert to fraction form
    387,311/528,025 = 528,025/x
  3. Step 3: Cross multiply
    387,311x = 528,025 × 528,025
  4. Step 4: Simplify right side
    387,311x = 278,810,400,625
  5. Step 5: Solve for x
    x = 278,810,400,625/387,311
  6. Step 6: Final answer
    x = 719,861.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.