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Finding the Third Proportional to 356,472 and 742,430

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Solution

The third proportional to 356,472 and 742,430 is: 1,546,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,472 : 742,430 = 742,430 : x
  2. Step 2: Convert to fraction form
    356,472/742,430 = 742,430/x
  3. Step 3: Cross multiply
    356,472x = 742,430 × 742,430
  4. Step 4: Simplify right side
    356,472x = 551,202,304,900
  5. Step 5: Solve for x
    x = 551,202,304,900/356,472
  6. Step 6: Final answer
    x = 1,546,270.97

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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.