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Finding the Third Proportional to 311,799 and 666,244.50

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Solution

The third proportional to 311,799 and 666,244.50 is: 1,423,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,799 : 666,244.50 = 666,244.50 : x
  2. Step 2: Convert to fraction form
    311,799/666,244.50 = 666,244.50/x
  3. Step 3: Cross multiply
    311,799x = 666,244.50 × 666,244.50
  4. Step 4: Simplify right side
    311,799x = 443,881,733,780.25
  5. Step 5: Solve for x
    x = 443,881,733,780.25/311,799
  6. Step 6: Final answer
    x = 1,423,615.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.