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Finding the Third Proportional to 288,110.25 and 415,035.56

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Solution

The third proportional to 288,110.25 and 415,035.56 is: 597,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,110.25 : 415,035.56 = 415,035.56 : x
  2. Step 2: Convert to fraction form
    288,110.25/415,035.56 = 415,035.56/x
  3. Step 3: Cross multiply
    288,110.25x = 415,035.56 × 415,035.56
  4. Step 4: Simplify right side
    288,110.25x = 172,254,518,139.69
  5. Step 5: Solve for x
    x = 172,254,518,139.69/288,110.25
  6. Step 6: Final answer
    x = 597,877.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.