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Finding the Third Proportional to 272,800 and 595,160

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Solution

The third proportional to 272,800 and 595,160 is: 1,298,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800 : 595,160 = 595,160 : x
  2. Step 2: Convert to fraction form
    272,800/595,160 = 595,160/x
  3. Step 3: Cross multiply
    272,800x = 595,160 × 595,160
  4. Step 4: Simplify right side
    272,800x = 354,215,425,600
  5. Step 5: Solve for x
    x = 354,215,425,600/272,800
  6. Step 6: Final answer
    x = 1,298,443.64

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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.