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Finding the Third Proportional to 592,147.50 and 899,298.75

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Solution

The third proportional to 592,147.50 and 899,298.75 is: 1,365,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,147.50 : 899,298.75 = 899,298.75 : x
  2. Step 2: Convert to fraction form
    592,147.50/899,298.75 = 899,298.75/x
  3. Step 3: Cross multiply
    592,147.50x = 899,298.75 × 899,298.75
  4. Step 4: Simplify right side
    592,147.50x = 808,738,241,751.56
  5. Step 5: Solve for x
    x = 808,738,241,751.56/592,147.50
  6. Step 6: Final answer
    x = 1,365,771.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.