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Finding the Third Proportional to 507,624.75 and 1,098,078.75

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Solution

The third proportional to 507,624.75 and 1,098,078.75 is: 2,375,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,624.75 : 1,098,078.75 = 1,098,078.75 : x
  2. Step 2: Convert to fraction form
    507,624.75/1,098,078.75 = 1,098,078.75/x
  3. Step 3: Cross multiply
    507,624.75x = 1,098,078.75 × 1,098,078.75
  4. Step 4: Simplify right side
    507,624.75x = 1,205,776,941,201.56
  5. Step 5: Solve for x
    x = 1,205,776,941,201.56/507,624.75
  6. Step 6: Final answer
    x = 2,375,331.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.