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Finding the Third Proportional to 265,956 and 576,216

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Solution

The third proportional to 265,956 and 576,216 is: 1,248,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,956 : 576,216 = 576,216 : x
  2. Step 2: Convert to fraction form
    265,956/576,216 = 576,216/x
  3. Step 3: Cross multiply
    265,956x = 576,216 × 576,216
  4. Step 4: Simplify right side
    265,956x = 332,024,878,656
  5. Step 5: Solve for x
    x = 332,024,878,656/265,956
  6. Step 6: Final answer
    x = 1,248,420.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.