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Finding the Third Proportional to 358,668 and 537,313.50

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Solution

The third proportional to 358,668 and 537,313.50 is: 804,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,668 : 537,313.50 = 537,313.50 : x
  2. Step 2: Convert to fraction form
    358,668/537,313.50 = 537,313.50/x
  3. Step 3: Cross multiply
    358,668x = 537,313.50 × 537,313.50
  4. Step 4: Simplify right side
    358,668x = 288,705,797,282.25
  5. Step 5: Solve for x
    x = 288,705,797,282.25/358,668
  6. Step 6: Final answer
    x = 804,938.82

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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.