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Finding the Third Proportional to 228,924 and 497,258

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Solution

The third proportional to 228,924 and 497,258 is: 1,080,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,924 : 497,258 = 497,258 : x
  2. Step 2: Convert to fraction form
    228,924/497,258 = 497,258/x
  3. Step 3: Cross multiply
    228,924x = 497,258 × 497,258
  4. Step 4: Simplify right side
    228,924x = 247,265,518,564
  5. Step 5: Solve for x
    x = 247,265,518,564/228,924
  6. Step 6: Final answer
    x = 1,080,120.56

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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.