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Finding the Third Proportional to 356,463 and 742,413

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Solution

The third proportional to 356,463 and 742,413 is: 1,546,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,463 : 742,413 = 742,413 : x
  2. Step 2: Convert to fraction form
    356,463/742,413 = 742,413/x
  3. Step 3: Cross multiply
    356,463x = 742,413 × 742,413
  4. Step 4: Simplify right side
    356,463x = 551,177,062,569
  5. Step 5: Solve for x
    x = 551,177,062,569/356,463
  6. Step 6: Final answer
    x = 1,546,239.20

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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.