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Finding the Third Proportional to 265,789 and 568,460

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Solution

The third proportional to 265,789 and 568,460 is: 1,215,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,789 : 568,460 = 568,460 : x
  2. Step 2: Convert to fraction form
    265,789/568,460 = 568,460/x
  3. Step 3: Cross multiply
    265,789x = 568,460 × 568,460
  4. Step 4: Simplify right side
    265,789x = 323,146,771,600
  5. Step 5: Solve for x
    x = 323,146,771,600/265,789
  6. Step 6: Final answer
    x = 1,215,801.90

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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.