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Finding the Third Proportional to 443,715.75 and 971,390.25

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Solution

The third proportional to 443,715.75 and 971,390.25 is: 2,126,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,715.75 : 971,390.25 = 971,390.25 : x
  2. Step 2: Convert to fraction form
    443,715.75/971,390.25 = 971,390.25/x
  3. Step 3: Cross multiply
    443,715.75x = 971,390.25 × 971,390.25
  4. Step 4: Simplify right side
    443,715.75x = 943,599,017,795.06
  5. Step 5: Solve for x
    x = 943,599,017,795.06/443,715.75
  6. Step 6: Final answer
    x = 2,126,584.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.