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Finding the Third Proportional to 363,291 and 545,058

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Solution

The third proportional to 363,291 and 545,058 is: 817,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,291 : 545,058 = 545,058 : x
  2. Step 2: Convert to fraction form
    363,291/545,058 = 545,058/x
  3. Step 3: Cross multiply
    363,291x = 545,058 × 545,058
  4. Step 4: Simplify right side
    363,291x = 297,088,223,364
  5. Step 5: Solve for x
    x = 297,088,223,364/363,291
  6. Step 6: Final answer
    x = 817,769.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.