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Finding the Third Proportional to 322,990.50 and 495,786

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Solution

The third proportional to 322,990.50 and 495,786 is: 761,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,990.50 : 495,786 = 495,786 : x
  2. Step 2: Convert to fraction form
    322,990.50/495,786 = 495,786/x
  3. Step 3: Cross multiply
    322,990.50x = 495,786 × 495,786
  4. Step 4: Simplify right side
    322,990.50x = 245,803,757,796
  5. Step 5: Solve for x
    x = 245,803,757,796/322,990.50
  6. Step 6: Final answer
    x = 761,024.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.