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Finding the Third Proportional to 448,407.50 and 655,367

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Solution

The third proportional to 448,407.50 and 655,367 is: 957,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,407.50 : 655,367 = 655,367 : x
  2. Step 2: Convert to fraction form
    448,407.50/655,367 = 655,367/x
  3. Step 3: Cross multiply
    448,407.50x = 655,367 × 655,367
  4. Step 4: Simplify right side
    448,407.50x = 429,505,904,689
  5. Step 5: Solve for x
    x = 429,505,904,689/448,407.50
  6. Step 6: Final answer
    x = 957,847.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.