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Finding the Third Proportional to 344,726 and 744,796

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Solution

The third proportional to 344,726 and 744,796 is: 1,609,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,726 : 744,796 = 744,796 : x
  2. Step 2: Convert to fraction form
    344,726/744,796 = 744,796/x
  3. Step 3: Cross multiply
    344,726x = 744,796 × 744,796
  4. Step 4: Simplify right side
    344,726x = 554,721,081,616
  5. Step 5: Solve for x
    x = 554,721,081,616/344,726
  6. Step 6: Final answer
    x = 1,609,165.20

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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.