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Finding the Third Proportional to 272,802 and 595,164

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Solution

The third proportional to 272,802 and 595,164 is: 1,298,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802 : 595,164 = 595,164 : x
  2. Step 2: Convert to fraction form
    272,802/595,164 = 595,164/x
  3. Step 3: Cross multiply
    272,802x = 595,164 × 595,164
  4. Step 4: Simplify right side
    272,802x = 354,220,186,896
  5. Step 5: Solve for x
    x = 354,220,186,896/272,802
  6. Step 6: Final answer
    x = 1,298,451.58

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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.