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Finding the Third Proportional to 301,666 and 632,708

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Solution

The third proportional to 301,666 and 632,708 is: 1,327,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666 : 632,708 = 632,708 : x
  2. Step 2: Convert to fraction form
    301,666/632,708 = 632,708/x
  3. Step 3: Cross multiply
    301,666x = 632,708 × 632,708
  4. Step 4: Simplify right side
    301,666x = 400,319,413,264
  5. Step 5: Solve for x
    x = 400,319,413,264/301,666
  6. Step 6: Final answer
    x = 1,327,028.61

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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.