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Finding the Third Proportional to 289,983 and 443,641.50

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Solution

The third proportional to 289,983 and 443,641.50 is: 678,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,983 : 443,641.50 = 443,641.50 : x
  2. Step 2: Convert to fraction form
    289,983/443,641.50 = 443,641.50/x
  3. Step 3: Cross multiply
    289,983x = 443,641.50 × 443,641.50
  4. Step 4: Simplify right side
    289,983x = 196,817,780,522.25
  5. Step 5: Solve for x
    x = 196,817,780,522.25/289,983
  6. Step 6: Final answer
    x = 678,721.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.