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Finding the Third Proportional to 360,312 and 834,036

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Solution

The third proportional to 360,312 and 834,036 is: 1,930,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,312 : 834,036 = 834,036 : x
  2. Step 2: Convert to fraction form
    360,312/834,036 = 834,036/x
  3. Step 3: Cross multiply
    360,312x = 834,036 × 834,036
  4. Step 4: Simplify right side
    360,312x = 695,616,049,296
  5. Step 5: Solve for x
    x = 695,616,049,296/360,312
  6. Step 6: Final answer
    x = 1,930,593.62

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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.