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Finding the Third Proportional to 334,710 and 721,908

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Solution

The third proportional to 334,710 and 721,908 is: 1,557,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,710 : 721,908 = 721,908 : x
  2. Step 2: Convert to fraction form
    334,710/721,908 = 721,908/x
  3. Step 3: Cross multiply
    334,710x = 721,908 × 721,908
  4. Step 4: Simplify right side
    334,710x = 521,151,160,464
  5. Step 5: Solve for x
    x = 521,151,160,464/334,710
  6. Step 6: Final answer
    x = 1,557,022.98

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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.