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Finding the Third Proportional to 288,915.19 and 444,649.50

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Solution

The third proportional to 288,915.19 and 444,649.50 is: 684,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,915.19 : 444,649.50 = 444,649.50 : x
  2. Step 2: Convert to fraction form
    288,915.19/444,649.50 = 444,649.50/x
  3. Step 3: Cross multiply
    288,915.19x = 444,649.50 × 444,649.50
  4. Step 4: Simplify right side
    288,915.19x = 197,713,177,850.25
  5. Step 5: Solve for x
    x = 197,713,177,850.25/288,915.19
  6. Step 6: Final answer
    x = 684,329.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.