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Finding the Third Proportional to 265,860 and 573,464

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Solution

The third proportional to 265,860 and 573,464 is: 1,236,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,860 : 573,464 = 573,464 : x
  2. Step 2: Convert to fraction form
    265,860/573,464 = 573,464/x
  3. Step 3: Cross multiply
    265,860x = 573,464 × 573,464
  4. Step 4: Simplify right side
    265,860x = 328,860,959,296
  5. Step 5: Solve for x
    x = 328,860,959,296/265,860
  6. Step 6: Final answer
    x = 1,236,970.43

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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.