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Finding the Third Proportional to 314,026.88 and 448,532.44

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Solution

The third proportional to 314,026.88 and 448,532.44 is: 640,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,026.88 : 448,532.44 = 448,532.44 : x
  2. Step 2: Convert to fraction form
    314,026.88/448,532.44 = 448,532.44/x
  3. Step 3: Cross multiply
    314,026.88x = 448,532.44 × 448,532.44
  4. Step 4: Simplify right side
    314,026.88x = 201,181,347,489.69
  5. Step 5: Solve for x
    x = 201,181,347,489.69/314,026.88
  6. Step 6: Final answer
    x = 640,650.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.