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Finding the Third Proportional to 331,313 and 525,438

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Solution

The third proportional to 331,313 and 525,438 is: 833,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,313 : 525,438 = 525,438 : x
  2. Step 2: Convert to fraction form
    331,313/525,438 = 525,438/x
  3. Step 3: Cross multiply
    331,313x = 525,438 × 525,438
  4. Step 4: Simplify right side
    331,313x = 276,085,091,844
  5. Step 5: Solve for x
    x = 276,085,091,844/331,313
  6. Step 6: Final answer
    x = 833,305.94

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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.