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Finding the Third Proportional to 291,258 and 441,397

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Solution

The third proportional to 291,258 and 441,397 is: 668,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,258 : 441,397 = 441,397 : x
  2. Step 2: Convert to fraction form
    291,258/441,397 = 441,397/x
  3. Step 3: Cross multiply
    291,258x = 441,397 × 441,397
  4. Step 4: Simplify right side
    291,258x = 194,831,311,609
  5. Step 5: Solve for x
    x = 194,831,311,609/291,258
  6. Step 6: Final answer
    x = 668,930.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.