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Finding the Third Proportional to 352,038 and 757,143

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Solution

The third proportional to 352,038 and 757,143 is: 1,628,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,038 : 757,143 = 757,143 : x
  2. Step 2: Convert to fraction form
    352,038/757,143 = 757,143/x
  3. Step 3: Cross multiply
    352,038x = 757,143 × 757,143
  4. Step 4: Simplify right side
    352,038x = 573,265,522,449
  5. Step 5: Solve for x
    x = 573,265,522,449/352,038
  6. Step 6: Final answer
    x = 1,628,419.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.