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Finding the Third Proportional to 469,082 and 727,279

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Solution

The third proportional to 469,082 and 727,279 is: 1,127,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,082 : 727,279 = 727,279 : x
  2. Step 2: Convert to fraction form
    469,082/727,279 = 727,279/x
  3. Step 3: Cross multiply
    469,082x = 727,279 × 727,279
  4. Step 4: Simplify right side
    469,082x = 528,934,743,841
  5. Step 5: Solve for x
    x = 528,934,743,841/469,082
  6. Step 6: Final answer
    x = 1,127,595.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.