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Finding the Third Proportional to 360,504 and 834,543

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Solution

The third proportional to 360,504 and 834,543 is: 1,931,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,504 : 834,543 = 834,543 : x
  2. Step 2: Convert to fraction form
    360,504/834,543 = 834,543/x
  3. Step 3: Cross multiply
    360,504x = 834,543 × 834,543
  4. Step 4: Simplify right side
    360,504x = 696,462,018,849
  5. Step 5: Solve for x
    x = 696,462,018,849/360,504
  6. Step 6: Final answer
    x = 1,931,912.04

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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.