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Finding the Third Proportional to 272,841.75 and 599,315.63

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Solution

The third proportional to 272,841.75 and 599,315.63 is: 1,316,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,841.75 : 599,315.63 = 599,315.63 : x
  2. Step 2: Convert to fraction form
    272,841.75/599,315.63 = 599,315.63/x
  3. Step 3: Cross multiply
    272,841.75x = 599,315.63 × 599,315.63
  4. Step 4: Simplify right side
    272,841.75x = 359,179,218,369.14
  5. Step 5: Solve for x
    x = 359,179,218,369.14/272,841.75
  6. Step 6: Final answer
    x = 1,316,437.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.