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Finding the Third Proportional to 344,064 and 701,952

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Solution

The third proportional to 344,064 and 701,952 is: 1,432,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064 : 701,952 = 701,952 : x
  2. Step 2: Convert to fraction form
    344,064/701,952 = 701,952/x
  3. Step 3: Cross multiply
    344,064x = 701,952 × 701,952
  4. Step 4: Simplify right side
    344,064x = 492,736,610,304
  5. Step 5: Solve for x
    x = 492,736,610,304/344,064
  6. Step 6: Final answer
    x = 1,432,107.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.