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Finding the Third Proportional to 369,675.56 and 794,561.06

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Solution

The third proportional to 369,675.56 and 794,561.06 is: 1,707,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,675.56 : 794,561.06 = 794,561.06 : x
  2. Step 2: Convert to fraction form
    369,675.56/794,561.06 = 794,561.06/x
  3. Step 3: Cross multiply
    369,675.56x = 794,561.06 × 794,561.06
  4. Step 4: Simplify right side
    369,675.56x = 631,327,282,041.13
  5. Step 5: Solve for x
    x = 631,327,282,041.13/369,675.56
  6. Step 6: Final answer
    x = 1,707,787.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.