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Finding the Third Proportional to 288,623.25 and 448,011

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Solution

The third proportional to 288,623.25 and 448,011 is: 695,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,623.25 : 448,011 = 448,011 : x
  2. Step 2: Convert to fraction form
    288,623.25/448,011 = 448,011/x
  3. Step 3: Cross multiply
    288,623.25x = 448,011 × 448,011
  4. Step 4: Simplify right side
    288,623.25x = 200,713,856,121
  5. Step 5: Solve for x
    x = 200,713,856,121/288,623.25
  6. Step 6: Final answer
    x = 695,418.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.