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Finding the Third Proportional to 358,725 and 754,626

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Solution

The third proportional to 358,725 and 754,626 is: 1,587,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,725 : 754,626 = 754,626 : x
  2. Step 2: Convert to fraction form
    358,725/754,626 = 754,626/x
  3. Step 3: Cross multiply
    358,725x = 754,626 × 754,626
  4. Step 4: Simplify right side
    358,725x = 569,460,399,876
  5. Step 5: Solve for x
    x = 569,460,399,876/358,725
  6. Step 6: Final answer
    x = 1,587,456.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.