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Finding the Third Proportional to 346,258 and 541,258

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Solution

The third proportional to 346,258 and 541,258 is: 846,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,258 : 541,258 = 541,258 : x
  2. Step 2: Convert to fraction form
    346,258/541,258 = 541,258/x
  3. Step 3: Cross multiply
    346,258x = 541,258 × 541,258
  4. Step 4: Simplify right side
    346,258x = 292,960,222,564
  5. Step 5: Solve for x
    x = 292,960,222,564/346,258
  6. Step 6: Final answer
    x = 846,074.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.