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Finding the Third Proportional to 399,637.13 and 863,246.63

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Solution

The third proportional to 399,637.13 and 863,246.63 is: 1,864,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,637.13 : 863,246.63 = 863,246.63 : x
  2. Step 2: Convert to fraction form
    399,637.13/863,246.63 = 863,246.63/x
  3. Step 3: Cross multiply
    399,637.13x = 863,246.63 × 863,246.63
  4. Step 4: Simplify right side
    399,637.13x = 745,194,735,573.89
  5. Step 5: Solve for x
    x = 745,194,735,573.89/399,637.13
  6. Step 6: Final answer
    x = 1,864,678.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.