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Finding the Third Proportional to 299,803.50 and 644,076

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Solution

The third proportional to 299,803.50 and 644,076 is: 1,383,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,803.50 : 644,076 = 644,076 : x
  2. Step 2: Convert to fraction form
    299,803.50/644,076 = 644,076/x
  3. Step 3: Cross multiply
    299,803.50x = 644,076 × 644,076
  4. Step 4: Simplify right side
    299,803.50x = 414,833,893,776
  5. Step 5: Solve for x
    x = 414,833,893,776/299,803.50
  6. Step 6: Final answer
    x = 1,383,685.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.