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Finding the Third Proportional to 360,328 and 834,184

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Solution

The third proportional to 360,328 and 834,184 is: 1,931,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,328 : 834,184 = 834,184 : x
  2. Step 2: Convert to fraction form
    360,328/834,184 = 834,184/x
  3. Step 3: Cross multiply
    360,328x = 834,184 × 834,184
  4. Step 4: Simplify right side
    360,328x = 695,862,945,856
  5. Step 5: Solve for x
    x = 695,862,945,856/360,328
  6. Step 6: Final answer
    x = 1,931,193.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.