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Finding the Third Proportional to 327,228.50 and 713,587

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Solution

The third proportional to 327,228.50 and 713,587 is: 1,556,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,228.50 : 713,587 = 713,587 : x
  2. Step 2: Convert to fraction form
    327,228.50/713,587 = 713,587/x
  3. Step 3: Cross multiply
    327,228.50x = 713,587 × 713,587
  4. Step 4: Simplify right side
    327,228.50x = 509,206,406,569
  5. Step 5: Solve for x
    x = 509,206,406,569/327,228.50
  6. Step 6: Final answer
    x = 1,556,118.76

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Why These Related Problems?

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