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Finding the Third Proportional to 268,256 and 580,070

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Solution

The third proportional to 268,256 and 580,070 is: 1,254,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,256 : 580,070 = 580,070 : x
  2. Step 2: Convert to fraction form
    268,256/580,070 = 580,070/x
  3. Step 3: Cross multiply
    268,256x = 580,070 × 580,070
  4. Step 4: Simplify right side
    268,256x = 336,481,204,900
  5. Step 5: Solve for x
    x = 336,481,204,900/268,256
  6. Step 6: Final answer
    x = 1,254,328.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.