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Finding the Third Proportional to 505,280.25 and 803,562.75

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Solution

The third proportional to 505,280.25 and 803,562.75 is: 1,277,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,280.25 : 803,562.75 = 803,562.75 : x
  2. Step 2: Convert to fraction form
    505,280.25/803,562.75 = 803,562.75/x
  3. Step 3: Cross multiply
    505,280.25x = 803,562.75 × 803,562.75
  4. Step 4: Simplify right side
    505,280.25x = 645,713,093,187.56
  5. Step 5: Solve for x
    x = 645,713,093,187.56/505,280.25
  6. Step 6: Final answer
    x = 1,277,930.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.