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Finding the Third Proportional to 299,848.50 and 707,839.75

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Solution

The third proportional to 299,848.50 and 707,839.75 is: 1,670,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,848.50 : 707,839.75 = 707,839.75 : x
  2. Step 2: Convert to fraction form
    299,848.50/707,839.75 = 707,839.75/x
  3. Step 3: Cross multiply
    299,848.50x = 707,839.75 × 707,839.75
  4. Step 4: Simplify right side
    299,848.50x = 501,037,111,680.06
  5. Step 5: Solve for x
    x = 501,037,111,680.06/299,848.50
  6. Step 6: Final answer
    x = 1,670,967.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.