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Finding the Third Proportional to 309,438 and 675,236

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Solution

The third proportional to 309,438 and 675,236 is: 1,473,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,438 : 675,236 = 675,236 : x
  2. Step 2: Convert to fraction form
    309,438/675,236 = 675,236/x
  3. Step 3: Cross multiply
    309,438x = 675,236 × 675,236
  4. Step 4: Simplify right side
    309,438x = 455,943,655,696
  5. Step 5: Solve for x
    x = 455,943,655,696/309,438
  6. Step 6: Final answer
    x = 1,473,457.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.