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Finding the Third Proportional to 268,564 and 588,770

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Solution

The third proportional to 268,564 and 588,770 is: 1,290,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564 : 588,770 = 588,770 : x
  2. Step 2: Convert to fraction form
    268,564/588,770 = 588,770/x
  3. Step 3: Cross multiply
    268,564x = 588,770 × 588,770
  4. Step 4: Simplify right side
    268,564x = 346,650,112,900
  5. Step 5: Solve for x
    x = 346,650,112,900/268,564
  6. Step 6: Final answer
    x = 1,290,754.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.