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Finding the Third Proportional to 481,403.25 and 745,017.75

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Solution

The third proportional to 481,403.25 and 745,017.75 is: 1,152,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,403.25 : 745,017.75 = 745,017.75 : x
  2. Step 2: Convert to fraction form
    481,403.25/745,017.75 = 745,017.75/x
  3. Step 3: Cross multiply
    481,403.25x = 745,017.75 × 745,017.75
  4. Step 4: Simplify right side
    481,403.25x = 555,051,447,815.06
  5. Step 5: Solve for x
    x = 555,051,447,815.06/481,403.25
  6. Step 6: Final answer
    x = 1,152,986.50

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Why These Related Problems?

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