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Finding the Third Proportional to 364,040.16 and 569,826.56

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Solution

The third proportional to 364,040.16 and 569,826.56 is: 891,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,040.16 : 569,826.56 = 569,826.56 : x
  2. Step 2: Convert to fraction form
    364,040.16/569,826.56 = 569,826.56/x
  3. Step 3: Cross multiply
    364,040.16x = 569,826.56 × 569,826.56
  4. Step 4: Simplify right side
    364,040.16x = 324,702,311,330.57
  5. Step 5: Solve for x
    x = 324,702,311,330.57/364,040.16
  6. Step 6: Final answer
    x = 891,940.92

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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.