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Finding the Third Proportional to 595,725.75 and 909,168.75

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Solution

The third proportional to 595,725.75 and 909,168.75 is: 1,387,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,725.75 : 909,168.75 = 909,168.75 : x
  2. Step 2: Convert to fraction form
    595,725.75/909,168.75 = 909,168.75/x
  3. Step 3: Cross multiply
    595,725.75x = 909,168.75 × 909,168.75
  4. Step 4: Simplify right side
    595,725.75x = 826,587,815,976.56
  5. Step 5: Solve for x
    x = 826,587,815,976.56/595,725.75
  6. Step 6: Final answer
    x = 1,387,530.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.