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Finding the Third Proportional to 343,086 and 533,313

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Solution

The third proportional to 343,086 and 533,313 is: 829,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,086 : 533,313 = 533,313 : x
  2. Step 2: Convert to fraction form
    343,086/533,313 = 533,313/x
  3. Step 3: Cross multiply
    343,086x = 533,313 × 533,313
  4. Step 4: Simplify right side
    343,086x = 284,422,755,969
  5. Step 5: Solve for x
    x = 284,422,755,969/343,086
  6. Step 6: Final answer
    x = 829,013.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.