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Finding the Third Proportional to 578,596.50 and 1,185,381

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Solution

The third proportional to 578,596.50 and 1,185,381 is: 2,428,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,596.50 : 1,185,381 = 1,185,381 : x
  2. Step 2: Convert to fraction form
    578,596.50/1,185,381 = 1,185,381/x
  3. Step 3: Cross multiply
    578,596.50x = 1,185,381 × 1,185,381
  4. Step 4: Simplify right side
    578,596.50x = 1,405,128,115,161
  5. Step 5: Solve for x
    x = 1,405,128,115,161/578,596.50
  6. Step 6: Final answer
    x = 2,428,511.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.