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Finding the Third Proportional to 278,028 and 607,025

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Solution

The third proportional to 278,028 and 607,025 is: 1,325,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,028 : 607,025 = 607,025 : x
  2. Step 2: Convert to fraction form
    278,028/607,025 = 607,025/x
  3. Step 3: Cross multiply
    278,028x = 607,025 × 607,025
  4. Step 4: Simplify right side
    278,028x = 368,479,350,625
  5. Step 5: Solve for x
    x = 368,479,350,625/278,028
  6. Step 6: Final answer
    x = 1,325,331.80

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Why These Related Problems?

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