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Finding the Third Proportional to 337,281 and 718,258

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Solution

The third proportional to 337,281 and 718,258 is: 1,529,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,281 : 718,258 = 718,258 : x
  2. Step 2: Convert to fraction form
    337,281/718,258 = 718,258/x
  3. Step 3: Cross multiply
    337,281x = 718,258 × 718,258
  4. Step 4: Simplify right side
    337,281x = 515,894,554,564
  5. Step 5: Solve for x
    x = 515,894,554,564/337,281
  6. Step 6: Final answer
    x = 1,529,568.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.