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Finding the Third Proportional to 296,726 and 614,188

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Solution

The third proportional to 296,726 and 614,188 is: 1,271,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,726 : 614,188 = 614,188 : x
  2. Step 2: Convert to fraction form
    296,726/614,188 = 614,188/x
  3. Step 3: Cross multiply
    296,726x = 614,188 × 614,188
  4. Step 4: Simplify right side
    296,726x = 377,226,899,344
  5. Step 5: Solve for x
    x = 377,226,899,344/296,726
  6. Step 6: Final answer
    x = 1,271,297.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.