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Finding the Third Proportional to 364,059.56 and 569,865.38

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Solution

The third proportional to 364,059.56 and 569,865.38 is: 892,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,059.56 : 569,865.38 = 569,865.38 : x
  2. Step 2: Convert to fraction form
    364,059.56/569,865.38 = 569,865.38/x
  3. Step 3: Cross multiply
    364,059.56x = 569,865.38 × 569,865.38
  4. Step 4: Simplify right side
    364,059.56x = 324,746,545,623.89
  5. Step 5: Solve for x
    x = 324,746,545,623.89/364,059.56
  6. Step 6: Final answer
    x = 892,014.88

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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.