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Finding the Third Proportional to 541,282.50 and 1,157,652

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Solution

The third proportional to 541,282.50 and 1,157,652 is: 2,475,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,282.50 : 1,157,652 = 1,157,652 : x
  2. Step 2: Convert to fraction form
    541,282.50/1,157,652 = 1,157,652/x
  3. Step 3: Cross multiply
    541,282.50x = 1,157,652 × 1,157,652
  4. Step 4: Simplify right side
    541,282.50x = 1,340,158,153,104
  5. Step 5: Solve for x
    x = 1,340,158,153,104/541,282.50
  6. Step 6: Final answer
    x = 2,475,894.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.