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Finding the Third Proportional to 207,757.41 and 446,547.94

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Solution

The third proportional to 207,757.41 and 446,547.94 is: 959,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,757.41 : 446,547.94 = 446,547.94 : x
  2. Step 2: Convert to fraction form
    207,757.41/446,547.94 = 446,547.94/x
  3. Step 3: Cross multiply
    207,757.41x = 446,547.94 × 446,547.94
  4. Step 4: Simplify right side
    207,757.41x = 199,405,060,485.50
  5. Step 5: Solve for x
    x = 199,405,060,485.50/207,757.41
  6. Step 6: Final answer
    x = 959,797.60

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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.