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Finding the Third Proportional to 678,191.25 and 1,049,165.63

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Solution

The third proportional to 678,191.25 and 1,049,165.63 is: 1,623,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,191.25 : 1,049,165.63 = 1,049,165.63 : x
  2. Step 2: Convert to fraction form
    678,191.25/1,049,165.63 = 1,049,165.63/x
  3. Step 3: Cross multiply
    678,191.25x = 1,049,165.63 × 1,049,165.63
  4. Step 4: Simplify right side
    678,191.25x = 1,100,748,508,681.64
  5. Step 5: Solve for x
    x = 1,100,748,508,681.64/678,191.25
  6. Step 6: Final answer
    x = 1,623,065.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.