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Finding the Third Proportional to 227,468 and 497,944

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Solution

The third proportional to 227,468 and 497,944 is: 1,090,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,468 : 497,944 = 497,944 : x
  2. Step 2: Convert to fraction form
    227,468/497,944 = 497,944/x
  3. Step 3: Cross multiply
    227,468x = 497,944 × 497,944
  4. Step 4: Simplify right side
    227,468x = 247,948,227,136
  5. Step 5: Solve for x
    x = 247,948,227,136/227,468
  6. Step 6: Final answer
    x = 1,090,035.64

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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.