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Finding the Third Proportional to 340,858.13 and 738,127.69

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Solution

The third proportional to 340,858.13 and 738,127.69 is: 1,598,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,858.13 : 738,127.69 = 738,127.69 : x
  2. Step 2: Convert to fraction form
    340,858.13/738,127.69 = 738,127.69/x
  3. Step 3: Cross multiply
    340,858.13x = 738,127.69 × 738,127.69
  4. Step 4: Simplify right side
    340,858.13x = 544,832,483,054.10
  5. Step 5: Solve for x
    x = 544,832,483,054.10/340,858.13
  6. Step 6: Final answer
    x = 1,598,414.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.