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Finding the Third Proportional to 352,001 and 742,729

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Solution

The third proportional to 352,001 and 742,729 is: 1,567,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,001 : 742,729 = 742,729 : x
  2. Step 2: Convert to fraction form
    352,001/742,729 = 742,729/x
  3. Step 3: Cross multiply
    352,001x = 742,729 × 742,729
  4. Step 4: Simplify right side
    352,001x = 551,646,367,441
  5. Step 5: Solve for x
    x = 551,646,367,441/352,001
  6. Step 6: Final answer
    x = 1,567,172.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.