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Finding the Third Proportional to 447,730 and 675,907

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Solution

The third proportional to 447,730 and 675,907 is: 1,020,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,730 : 675,907 = 675,907 : x
  2. Step 2: Convert to fraction form
    447,730/675,907 = 675,907/x
  3. Step 3: Cross multiply
    447,730x = 675,907 × 675,907
  4. Step 4: Simplify right side
    447,730x = 456,850,272,649
  5. Step 5: Solve for x
    x = 456,850,272,649/447,730
  6. Step 6: Final answer
    x = 1,020,370.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.