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Finding the Third Proportional to 362,742 and 754,911

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Solution

The third proportional to 362,742 and 754,911 is: 1,571,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,742 : 754,911 = 754,911 : x
  2. Step 2: Convert to fraction form
    362,742/754,911 = 754,911/x
  3. Step 3: Cross multiply
    362,742x = 754,911 × 754,911
  4. Step 4: Simplify right side
    362,742x = 569,890,617,921
  5. Step 5: Solve for x
    x = 569,890,617,921/362,742
  6. Step 6: Final answer
    x = 1,571,063.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.