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Finding the Third Proportional to 369,465.75 and 794,184.75

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Solution

The third proportional to 369,465.75 and 794,184.75 is: 1,707,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,465.75 : 794,184.75 = 794,184.75 : x
  2. Step 2: Convert to fraction form
    369,465.75/794,184.75 = 794,184.75/x
  3. Step 3: Cross multiply
    369,465.75x = 794,184.75 × 794,184.75
  4. Step 4: Simplify right side
    369,465.75x = 630,729,417,132.56
  5. Step 5: Solve for x
    x = 630,729,417,132.56/369,465.75
  6. Step 6: Final answer
    x = 1,707,139.07

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