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Finding the Third Proportional to 272,623.22 and 558,470.95

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Solution

The third proportional to 272,623.22 and 558,470.95 is: 1,144,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,623.22 : 558,470.95 = 558,470.95 : x
  2. Step 2: Convert to fraction form
    272,623.22/558,470.95 = 558,470.95/x
  3. Step 3: Cross multiply
    272,623.22x = 558,470.95 × 558,470.95
  4. Step 4: Simplify right side
    272,623.22x = 311,889,805,484.35
  5. Step 5: Solve for x
    x = 311,889,805,484.35/272,623.22
  6. Step 6: Final answer
    x = 1,144,032.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.