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Finding the Third Proportional to 344,642 and 744,644

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Solution

The third proportional to 344,642 and 744,644 is: 1,608,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,642 : 744,644 = 744,644 : x
  2. Step 2: Convert to fraction form
    344,642/744,644 = 744,644/x
  3. Step 3: Cross multiply
    344,642x = 744,644 × 744,644
  4. Step 4: Simplify right side
    344,642x = 554,494,686,736
  5. Step 5: Solve for x
    x = 554,494,686,736/344,642
  6. Step 6: Final answer
    x = 1,608,900.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.