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Finding the Third Proportional to 274,417 and 601,304

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Solution

The third proportional to 274,417 and 601,304 is: 1,317,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,417 : 601,304 = 601,304 : x
  2. Step 2: Convert to fraction form
    274,417/601,304 = 601,304/x
  3. Step 3: Cross multiply
    274,417x = 601,304 × 601,304
  4. Step 4: Simplify right side
    274,417x = 361,566,500,416
  5. Step 5: Solve for x
    x = 361,566,500,416/274,417
  6. Step 6: Final answer
    x = 1,317,580.54

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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.