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Finding the Third Proportional to 335,059 and 722,602

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Solution

The third proportional to 335,059 and 722,602 is: 1,558,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,059 : 722,602 = 722,602 : x
  2. Step 2: Convert to fraction form
    335,059/722,602 = 722,602/x
  3. Step 3: Cross multiply
    335,059x = 722,602 × 722,602
  4. Step 4: Simplify right side
    335,059x = 522,153,650,404
  5. Step 5: Solve for x
    x = 522,153,650,404/335,059
  6. Step 6: Final answer
    x = 1,558,393.15

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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.