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Finding the Third Proportional to 320,065.50 and 697,731

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Solution

The third proportional to 320,065.50 and 697,731 is: 1,521,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,065.50 : 697,731 = 697,731 : x
  2. Step 2: Convert to fraction form
    320,065.50/697,731 = 697,731/x
  3. Step 3: Cross multiply
    320,065.50x = 697,731 × 697,731
  4. Step 4: Simplify right side
    320,065.50x = 486,828,548,361
  5. Step 5: Solve for x
    x = 486,828,548,361/320,065.50
  6. Step 6: Final answer
    x = 1,521,027.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.