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Finding the Third Proportional to 272,468.81 and 590,864.63

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Solution

The third proportional to 272,468.81 and 590,864.63 is: 1,281,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,468.81 : 590,864.63 = 590,864.63 : x
  2. Step 2: Convert to fraction form
    272,468.81/590,864.63 = 590,864.63/x
  3. Step 3: Cross multiply
    272,468.81x = 590,864.63 × 590,864.63
  4. Step 4: Simplify right side
    272,468.81x = 349,121,005,076.39
  5. Step 5: Solve for x
    x = 349,121,005,076.39/272,468.81
  6. Step 6: Final answer
    x = 1,281,324.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.