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Finding the Third Proportional to 262,904 and 429,258

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Solution

The third proportional to 262,904 and 429,258 is: 700,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904 : 429,258 = 429,258 : x
  2. Step 2: Convert to fraction form
    262,904/429,258 = 429,258/x
  3. Step 3: Cross multiply
    262,904x = 429,258 × 429,258
  4. Step 4: Simplify right side
    262,904x = 184,262,430,564
  5. Step 5: Solve for x
    x = 184,262,430,564/262,904
  6. Step 6: Final answer
    x = 700,873.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.