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Finding the Third Proportional to 360,315 and 834,039

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Solution

The third proportional to 360,315 and 834,039 is: 1,930,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,315 : 834,039 = 834,039 : x
  2. Step 2: Convert to fraction form
    360,315/834,039 = 834,039/x
  3. Step 3: Cross multiply
    360,315x = 834,039 × 834,039
  4. Step 4: Simplify right side
    360,315x = 695,621,053,521
  5. Step 5: Solve for x
    x = 695,621,053,521/360,315
  6. Step 6: Final answer
    x = 1,930,591.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.