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Finding the Third Proportional to 228,971 and 497,369

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Solution

The third proportional to 228,971 and 497,369 is: 1,080,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971 : 497,369 = 497,369 : x
  2. Step 2: Convert to fraction form
    228,971/497,369 = 497,369/x
  3. Step 3: Cross multiply
    228,971x = 497,369 × 497,369
  4. Step 4: Simplify right side
    228,971x = 247,375,922,161
  5. Step 5: Solve for x
    x = 247,375,922,161/228,971
  6. Step 6: Final answer
    x = 1,080,381.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.