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Finding the Third Proportional to 448,962.75 and 997,569

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Solution

The third proportional to 448,962.75 and 997,569 is: 2,216,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,962.75 : 997,569 = 997,569 : x
  2. Step 2: Convert to fraction form
    448,962.75/997,569 = 997,569/x
  3. Step 3: Cross multiply
    448,962.75x = 997,569 × 997,569
  4. Step 4: Simplify right side
    448,962.75x = 995,143,909,761
  5. Step 5: Solve for x
    x = 995,143,909,761/448,962.75
  6. Step 6: Final answer
    x = 2,216,540.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.