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Finding the Third Proportional to 341,460 and 491,852

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Solution

The third proportional to 341,460 and 491,852 is: 708,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,460 : 491,852 = 491,852 : x
  2. Step 2: Convert to fraction form
    341,460/491,852 = 491,852/x
  3. Step 3: Cross multiply
    341,460x = 491,852 × 491,852
  4. Step 4: Simplify right side
    341,460x = 241,918,389,904
  5. Step 5: Solve for x
    x = 241,918,389,904/341,460
  6. Step 6: Final answer
    x = 708,482.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.