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Finding the Third Proportional to 334,572 and 685,452

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Solution

The third proportional to 334,572 and 685,452 is: 1,404,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,572 : 685,452 = 685,452 : x
  2. Step 2: Convert to fraction form
    334,572/685,452 = 685,452/x
  3. Step 3: Cross multiply
    334,572x = 685,452 × 685,452
  4. Step 4: Simplify right side
    334,572x = 469,844,444,304
  5. Step 5: Solve for x
    x = 469,844,444,304/334,572
  6. Step 6: Final answer
    x = 1,404,314.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.