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Finding the Third Proportional to 346,265 and 541,268

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Solution

The third proportional to 346,265 and 541,268 is: 846,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,265 : 541,268 = 541,268 : x
  2. Step 2: Convert to fraction form
    346,265/541,268 = 541,268/x
  3. Step 3: Cross multiply
    346,265x = 541,268 × 541,268
  4. Step 4: Simplify right side
    346,265x = 292,971,047,824
  5. Step 5: Solve for x
    x = 292,971,047,824/346,265
  6. Step 6: Final answer
    x = 846,089.12

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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.