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Finding the Third Proportional to 265,858 and 573,460

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Solution

The third proportional to 265,858 and 573,460 is: 1,236,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,858 : 573,460 = 573,460 : x
  2. Step 2: Convert to fraction form
    265,858/573,460 = 573,460/x
  3. Step 3: Cross multiply
    265,858x = 573,460 × 573,460
  4. Step 4: Simplify right side
    265,858x = 328,856,371,600
  5. Step 5: Solve for x
    x = 328,856,371,600/265,858
  6. Step 6: Final answer
    x = 1,236,962.48

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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.