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Finding the Third Proportional to 227,796 and 348,590

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Solution

The third proportional to 227,796 and 348,590 is: 533,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,796 : 348,590 = 348,590 : x
  2. Step 2: Convert to fraction form
    227,796/348,590 = 348,590/x
  3. Step 3: Cross multiply
    227,796x = 348,590 × 348,590
  4. Step 4: Simplify right side
    227,796x = 121,514,988,100
  5. Step 5: Solve for x
    x = 121,514,988,100/227,796
  6. Step 6: Final answer
    x = 533,437.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.