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Finding the Third Proportional to 374,313 and 529,631

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Solution

The third proportional to 374,313 and 529,631 is: 749,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,313 : 529,631 = 529,631 : x
  2. Step 2: Convert to fraction form
    374,313/529,631 = 529,631/x
  3. Step 3: Cross multiply
    374,313x = 529,631 × 529,631
  4. Step 4: Simplify right side
    374,313x = 280,508,996,161
  5. Step 5: Solve for x
    x = 280,508,996,161/374,313
  6. Step 6: Final answer
    x = 749,396.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.