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Finding the Third Proportional to 465,557.63 and 719,295.19

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Solution

The third proportional to 465,557.63 and 719,295.19 is: 1,111,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,557.63 : 719,295.19 = 719,295.19 : x
  2. Step 2: Convert to fraction form
    465,557.63/719,295.19 = 719,295.19/x
  3. Step 3: Cross multiply
    465,557.63x = 719,295.19 × 719,295.19
  4. Step 4: Simplify right side
    465,557.63x = 517,385,566,760.66
  5. Step 5: Solve for x
    x = 517,385,566,760.66/465,557.63
  6. Step 6: Final answer
    x = 1,111,324.44

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