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Finding the Third Proportional to 358,394.63 and 781,989.19

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Solution

The third proportional to 358,394.63 and 781,989.19 is: 1,706,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,394.63 : 781,989.19 = 781,989.19 : x
  2. Step 2: Convert to fraction form
    358,394.63/781,989.19 = 781,989.19/x
  3. Step 3: Cross multiply
    358,394.63x = 781,989.19 × 781,989.19
  4. Step 4: Simplify right side
    358,394.63x = 611,507,089,366.91
  5. Step 5: Solve for x
    x = 611,507,089,366.91/358,394.63
  6. Step 6: Final answer
    x = 1,706,239.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.