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Finding the Third Proportional to 341,234.44 and 742,667.06

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Solution

The third proportional to 341,234.44 and 742,667.06 is: 1,616,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,234.44 : 742,667.06 = 742,667.06 : x
  2. Step 2: Convert to fraction form
    341,234.44/742,667.06 = 742,667.06/x
  3. Step 3: Cross multiply
    341,234.44x = 742,667.06 × 742,667.06
  4. Step 4: Simplify right side
    341,234.44x = 551,554,365,722.38
  5. Step 5: Solve for x
    x = 551,554,365,722.38/341,234.44
  6. Step 6: Final answer
    x = 1,616,350.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.