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Finding the Third Proportional to 346,254 and 541,251

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Solution

The third proportional to 346,254 and 541,251 is: 846,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,254 : 541,251 = 541,251 : x
  2. Step 2: Convert to fraction form
    346,254/541,251 = 541,251/x
  3. Step 3: Cross multiply
    346,254x = 541,251 × 541,251
  4. Step 4: Simplify right side
    346,254x = 292,952,645,001
  5. Step 5: Solve for x
    x = 292,952,645,001/346,254
  6. Step 6: Final answer
    x = 846,062.85

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