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Finding the Third Proportional to 150,596 and 327,428

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Solution

The third proportional to 150,596 and 327,428 is: 711,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596 : 327,428 = 327,428 : x
  2. Step 2: Convert to fraction form
    150,596/327,428 = 327,428/x
  3. Step 3: Cross multiply
    150,596x = 327,428 × 327,428
  4. Step 4: Simplify right side
    150,596x = 107,209,095,184
  5. Step 5: Solve for x
    x = 107,209,095,184/150,596
  6. Step 6: Final answer
    x = 711,898.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.