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Finding the Third Proportional to 469,766.25 and 713,989.13

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Solution

The third proportional to 469,766.25 and 713,989.13 is: 1,085,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,766.25 : 713,989.13 = 713,989.13 : x
  2. Step 2: Convert to fraction form
    469,766.25/713,989.13 = 713,989.13/x
  3. Step 3: Cross multiply
    469,766.25x = 713,989.13 × 713,989.13
  4. Step 4: Simplify right side
    469,766.25x = 509,780,470,618.27
  5. Step 5: Solve for x
    x = 509,780,470,618.27/469,766.25
  6. Step 6: Final answer
    x = 1,085,179.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.