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Finding the Third Proportional to 356,740 and 742,856

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Solution

The third proportional to 356,740 and 742,856 is: 1,546,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,740 : 742,856 = 742,856 : x
  2. Step 2: Convert to fraction form
    356,740/742,856 = 742,856/x
  3. Step 3: Cross multiply
    356,740x = 742,856 × 742,856
  4. Step 4: Simplify right side
    356,740x = 551,835,036,736
  5. Step 5: Solve for x
    x = 551,835,036,736/356,740
  6. Step 6: Final answer
    x = 1,546,882.99

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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.