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Finding the Third Proportional to 962,257.50 and 1,345,293

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Solution

The third proportional to 962,257.50 and 1,345,293 is: 1,880,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,257.50 : 1,345,293 = 1,345,293 : x
  2. Step 2: Convert to fraction form
    962,257.50/1,345,293 = 1,345,293/x
  3. Step 3: Cross multiply
    962,257.50x = 1,345,293 × 1,345,293
  4. Step 4: Simplify right side
    962,257.50x = 1,809,813,255,849
  5. Step 5: Solve for x
    x = 1,809,813,255,849/962,257.50
  6. Step 6: Final answer
    x = 1,880,799.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.