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Finding the Third Proportional to 268,342 and 574,258

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Solution

The third proportional to 268,342 and 574,258 is: 1,228,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,342 : 574,258 = 574,258 : x
  2. Step 2: Convert to fraction form
    268,342/574,258 = 574,258/x
  3. Step 3: Cross multiply
    268,342x = 574,258 × 574,258
  4. Step 4: Simplify right side
    268,342x = 329,772,250,564
  5. Step 5: Solve for x
    x = 329,772,250,564/268,342
  6. Step 6: Final answer
    x = 1,228,925.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.