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Finding the Third Proportional to 767,307.94 and 1,200,166.88

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Solution

The third proportional to 767,307.94 and 1,200,166.88 is: 1,877,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,307.94 : 1,200,166.88 = 1,200,166.88 : x
  2. Step 2: Convert to fraction form
    767,307.94/1,200,166.88 = 1,200,166.88/x
  3. Step 3: Cross multiply
    767,307.94x = 1,200,166.88 × 1,200,166.88
  4. Step 4: Simplify right side
    767,307.94x = 1,440,400,527,847.27
  5. Step 5: Solve for x
    x = 1,440,400,527,847.27/767,307.94
  6. Step 6: Final answer
    x = 1,877,213.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.