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Finding the Third Proportional to 364,082 and 569,884

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Solution

The third proportional to 364,082 and 569,884 is: 892,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,082 : 569,884 = 569,884 : x
  2. Step 2: Convert to fraction form
    364,082/569,884 = 569,884/x
  3. Step 3: Cross multiply
    364,082x = 569,884 × 569,884
  4. Step 4: Simplify right side
    364,082x = 324,767,773,456
  5. Step 5: Solve for x
    x = 324,767,773,456/364,082
  6. Step 6: Final answer
    x = 892,018.21

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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.