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Finding the Third Proportional to 265,471 and 573,170

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Solution

The third proportional to 265,471 and 573,170 is: 1,237,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,471 : 573,170 = 573,170 : x
  2. Step 2: Convert to fraction form
    265,471/573,170 = 573,170/x
  3. Step 3: Cross multiply
    265,471x = 573,170 × 573,170
  4. Step 4: Simplify right side
    265,471x = 328,523,848,900
  5. Step 5: Solve for x
    x = 328,523,848,900/265,471
  6. Step 6: Final answer
    x = 1,237,513.13

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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.