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Finding the Third Proportional to 337,626 and 713,250

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Solution

The third proportional to 337,626 and 713,250 is: 1,506,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,626 : 713,250 = 713,250 : x
  2. Step 2: Convert to fraction form
    337,626/713,250 = 713,250/x
  3. Step 3: Cross multiply
    337,626x = 713,250 × 713,250
  4. Step 4: Simplify right side
    337,626x = 508,725,562,500
  5. Step 5: Solve for x
    x = 508,725,562,500/337,626
  6. Step 6: Final answer
    x = 1,506,772.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.