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Finding the Third Proportional to 265,734 and 581,082

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Solution

The third proportional to 265,734 and 581,082 is: 1,270,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734 : 581,082 = 581,082 : x
  2. Step 2: Convert to fraction form
    265,734/581,082 = 581,082/x
  3. Step 3: Cross multiply
    265,734x = 581,082 × 581,082
  4. Step 4: Simplify right side
    265,734x = 337,656,290,724
  5. Step 5: Solve for x
    x = 337,656,290,724/265,734
  6. Step 6: Final answer
    x = 1,270,655.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.