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Finding the Third Proportional to 359,162 and 537,754

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Solution

The third proportional to 359,162 and 537,754 is: 805,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,162 : 537,754 = 537,754 : x
  2. Step 2: Convert to fraction form
    359,162/537,754 = 537,754/x
  3. Step 3: Cross multiply
    359,162x = 537,754 × 537,754
  4. Step 4: Simplify right side
    359,162x = 289,179,364,516
  5. Step 5: Solve for x
    x = 289,179,364,516/359,162
  6. Step 6: Final answer
    x = 805,150.22

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Why These Related Problems?

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