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Finding the Third Proportional to 356,742 and 742,860

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Solution

The third proportional to 356,742 and 742,860 is: 1,546,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,742 : 742,860 = 742,860 : x
  2. Step 2: Convert to fraction form
    356,742/742,860 = 742,860/x
  3. Step 3: Cross multiply
    356,742x = 742,860 × 742,860
  4. Step 4: Simplify right side
    356,742x = 551,840,979,600
  5. Step 5: Solve for x
    x = 551,840,979,600/356,742
  6. Step 6: Final answer
    x = 1,546,890.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.