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Finding the Third Proportional to 378,235.50 and 819,510

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Solution

The third proportional to 378,235.50 and 819,510 is: 1,775,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,235.50 : 819,510 = 819,510 : x
  2. Step 2: Convert to fraction form
    378,235.50/819,510 = 819,510/x
  3. Step 3: Cross multiply
    378,235.50x = 819,510 × 819,510
  4. Step 4: Simplify right side
    378,235.50x = 671,596,640,100
  5. Step 5: Solve for x
    x = 671,596,640,100/378,235.50
  6. Step 6: Final answer
    x = 1,775,604.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.