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Finding the Third Proportional to 207,820.69 and 448,795.69

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Solution

The third proportional to 207,820.69 and 448,795.69 is: 969,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,820.69 : 448,795.69 = 448,795.69 : x
  2. Step 2: Convert to fraction form
    207,820.69/448,795.69 = 448,795.69/x
  3. Step 3: Cross multiply
    207,820.69x = 448,795.69 × 448,795.69
  4. Step 4: Simplify right side
    207,820.69x = 201,417,569,118.60
  5. Step 5: Solve for x
    x = 201,417,569,118.60/207,820.69
  6. Step 6: Final answer
    x = 969,189.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.