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Finding the Third Proportional to 375,846 and 819,529.50

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Solution

The third proportional to 375,846 and 819,529.50 is: 1,786,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,846 : 819,529.50 = 819,529.50 : x
  2. Step 2: Convert to fraction form
    375,846/819,529.50 = 819,529.50/x
  3. Step 3: Cross multiply
    375,846x = 819,529.50 × 819,529.50
  4. Step 4: Simplify right side
    375,846x = 671,628,601,370.25
  5. Step 5: Solve for x
    x = 671,628,601,370.25/375,846
  6. Step 6: Final answer
    x = 1,786,978.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.