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Finding the Third Proportional to 274,984 and 583,304

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Solution

The third proportional to 274,984 and 583,304 is: 1,237,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,984 : 583,304 = 583,304 : x
  2. Step 2: Convert to fraction form
    274,984/583,304 = 583,304/x
  3. Step 3: Cross multiply
    274,984x = 583,304 × 583,304
  4. Step 4: Simplify right side
    274,984x = 340,243,556,416
  5. Step 5: Solve for x
    x = 340,243,556,416/274,984
  6. Step 6: Final answer
    x = 1,237,321.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.