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Finding the Third Proportional to 265,082 and 569,716

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Solution

The third proportional to 265,082 and 569,716 is: 1,224,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,082 : 569,716 = 569,716 : x
  2. Step 2: Convert to fraction form
    265,082/569,716 = 569,716/x
  3. Step 3: Cross multiply
    265,082x = 569,716 × 569,716
  4. Step 4: Simplify right side
    265,082x = 324,576,320,656
  5. Step 5: Solve for x
    x = 324,576,320,656/265,082
  6. Step 6: Final answer
    x = 1,224,437.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.