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Finding the Third Proportional to 264,853 and 579,221

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Solution

The third proportional to 264,853 and 579,221 is: 1,266,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,853 : 579,221 = 579,221 : x
  2. Step 2: Convert to fraction form
    264,853/579,221 = 579,221/x
  3. Step 3: Cross multiply
    264,853x = 579,221 × 579,221
  4. Step 4: Simplify right side
    264,853x = 335,496,966,841
  5. Step 5: Solve for x
    x = 335,496,966,841/264,853
  6. Step 6: Final answer
    x = 1,266,728.97

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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.