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Finding the Third Proportional to 344,333.25 and 743,995.13

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Solution

The third proportional to 344,333.25 and 743,995.13 is: 1,607,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,333.25 : 743,995.13 = 743,995.13 : x
  2. Step 2: Convert to fraction form
    344,333.25/743,995.13 = 743,995.13/x
  3. Step 3: Cross multiply
    344,333.25x = 743,995.13 × 743,995.13
  4. Step 4: Simplify right side
    344,333.25x = 553,528,746,023.77
  5. Step 5: Solve for x
    x = 553,528,746,023.77/344,333.25
  6. Step 6: Final answer
    x = 1,607,537.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.