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Finding the Third Proportional to 265,005 and 579,515

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Solution

The third proportional to 265,005 and 579,515 is: 1,267,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,005 : 579,515 = 579,515 : x
  2. Step 2: Convert to fraction form
    265,005/579,515 = 579,515/x
  3. Step 3: Cross multiply
    265,005x = 579,515 × 579,515
  4. Step 4: Simplify right side
    265,005x = 335,837,635,225
  5. Step 5: Solve for x
    x = 335,837,635,225/265,005
  6. Step 6: Final answer
    x = 1,267,287.92

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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.