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Finding the Third Proportional to 227,594 and 498,726

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Solution

The third proportional to 227,594 and 498,726 is: 1,092,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,594 : 498,726 = 498,726 : x
  2. Step 2: Convert to fraction form
    227,594/498,726 = 498,726/x
  3. Step 3: Cross multiply
    227,594x = 498,726 × 498,726
  4. Step 4: Simplify right side
    227,594x = 248,727,623,076
  5. Step 5: Solve for x
    x = 248,727,623,076/227,594
  6. Step 6: Final answer
    x = 1,092,856.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.