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Finding the Third Proportional to 340,827.75 and 738,066.94

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Solution

The third proportional to 340,827.75 and 738,066.94 is: 1,598,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,827.75 : 738,066.94 = 738,066.94 : x
  2. Step 2: Convert to fraction form
    340,827.75/738,066.94 = 738,066.94/x
  3. Step 3: Cross multiply
    340,827.75x = 738,066.94 × 738,066.94
  4. Step 4: Simplify right side
    340,827.75x = 544,742,804,230.63
  5. Step 5: Solve for x
    x = 544,742,804,230.63/340,827.75
  6. Step 6: Final answer
    x = 1,598,293.58

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Why These Related Problems?

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