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Finding the Third Proportional to 356,467 and 742,421

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Solution

The third proportional to 356,467 and 742,421 is: 1,546,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,467 : 742,421 = 742,421 : x
  2. Step 2: Convert to fraction form
    356,467/742,421 = 742,421/x
  3. Step 3: Cross multiply
    356,467x = 742,421 × 742,421
  4. Step 4: Simplify right side
    356,467x = 551,188,941,241
  5. Step 5: Solve for x
    x = 551,188,941,241/356,467
  6. Step 6: Final answer
    x = 1,546,255.17

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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.