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Finding the Third Proportional to 374,525.25 and 586,889.25

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Solution

The third proportional to 374,525.25 and 586,889.25 is: 919,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,525.25 : 586,889.25 = 586,889.25 : x
  2. Step 2: Convert to fraction form
    374,525.25/586,889.25 = 586,889.25/x
  3. Step 3: Cross multiply
    374,525.25x = 586,889.25 × 586,889.25
  4. Step 4: Simplify right side
    374,525.25x = 344,438,991,765.56
  5. Step 5: Solve for x
    x = 344,438,991,765.56/374,525.25
  6. Step 6: Final answer
    x = 919,668.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.