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Finding the Third Proportional to 344,717 and 744,784

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Solution

The third proportional to 344,717 and 744,784 is: 1,609,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,717 : 744,784 = 744,784 : x
  2. Step 2: Convert to fraction form
    344,717/744,784 = 744,784/x
  3. Step 3: Cross multiply
    344,717x = 744,784 × 744,784
  4. Step 4: Simplify right side
    344,717x = 554,703,206,656
  5. Step 5: Solve for x
    x = 554,703,206,656/344,717
  6. Step 6: Final answer
    x = 1,609,155.36

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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.