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Finding the Third Proportional to 356,496 and 742,386

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Solution

The third proportional to 356,496 and 742,386 is: 1,545,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,496 : 742,386 = 742,386 : x
  2. Step 2: Convert to fraction form
    356,496/742,386 = 742,386/x
  3. Step 3: Cross multiply
    356,496x = 742,386 × 742,386
  4. Step 4: Simplify right side
    356,496x = 551,136,972,996
  5. Step 5: Solve for x
    x = 551,136,972,996/356,496
  6. Step 6: Final answer
    x = 1,545,983.61

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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.