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Finding the Third Proportional to 265,076 and 568,008

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Solution

The third proportional to 265,076 and 568,008 is: 1,217,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,076 : 568,008 = 568,008 : x
  2. Step 2: Convert to fraction form
    265,076/568,008 = 568,008/x
  3. Step 3: Cross multiply
    265,076x = 568,008 × 568,008
  4. Step 4: Simplify right side
    265,076x = 322,633,088,064
  5. Step 5: Solve for x
    x = 322,633,088,064/265,076
  6. Step 6: Final answer
    x = 1,217,134.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.