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Finding the Third Proportional to 360,312 and 834,144

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Solution

The third proportional to 360,312 and 834,144 is: 1,931,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,312 : 834,144 = 834,144 : x
  2. Step 2: Convert to fraction form
    360,312/834,144 = 834,144/x
  3. Step 3: Cross multiply
    360,312x = 834,144 × 834,144
  4. Step 4: Simplify right side
    360,312x = 695,796,212,736
  5. Step 5: Solve for x
    x = 695,796,212,736/360,312
  6. Step 6: Final answer
    x = 1,931,093.64

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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.