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Finding the Third Proportional to 334,266 and 715,188

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Solution

The third proportional to 334,266 and 715,188 is: 1,530,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,266 : 715,188 = 715,188 : x
  2. Step 2: Convert to fraction form
    334,266/715,188 = 715,188/x
  3. Step 3: Cross multiply
    334,266x = 715,188 × 715,188
  4. Step 4: Simplify right side
    334,266x = 511,493,875,344
  5. Step 5: Solve for x
    x = 511,493,875,344/334,266
  6. Step 6: Final answer
    x = 1,530,200.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.