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Finding the Third Proportional to 272,718.14 and 593,504.72

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Solution

The third proportional to 272,718.14 and 593,504.72 is: 1,291,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,718.14 : 593,504.72 = 593,504.72 : x
  2. Step 2: Convert to fraction form
    272,718.14/593,504.72 = 593,504.72/x
  3. Step 3: Cross multiply
    272,718.14x = 593,504.72 × 593,504.72
  4. Step 4: Simplify right side
    272,718.14x = 352,247,851,178.52
  5. Step 5: Solve for x
    x = 352,247,851,178.52/272,718.14
  6. Step 6: Final answer
    x = 1,291,618.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.