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Finding the Third Proportional to 767,323.13 and 1,200,192.19

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Solution

The third proportional to 767,323.13 and 1,200,192.19 is: 1,877,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,323.13 : 1,200,192.19 = 1,200,192.19 : x
  2. Step 2: Convert to fraction form
    767,323.13/1,200,192.19 = 1,200,192.19/x
  3. Step 3: Cross multiply
    767,323.13x = 1,200,192.19 × 1,200,192.19
  4. Step 4: Simplify right side
    767,323.13x = 1,440,461,286,936.04
  5. Step 5: Solve for x
    x = 1,440,461,286,936.04/767,323.13
  6. Step 6: Final answer
    x = 1,877,255.15

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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.