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Finding the Third Proportional to 622,975.50 and 975,982.50

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Solution

The third proportional to 622,975.50 and 975,982.50 is: 1,529,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,975.50 : 975,982.50 = 975,982.50 : x
  2. Step 2: Convert to fraction form
    622,975.50/975,982.50 = 975,982.50/x
  3. Step 3: Cross multiply
    622,975.50x = 975,982.50 × 975,982.50
  4. Step 4: Simplify right side
    622,975.50x = 952,541,840,306.25
  5. Step 5: Solve for x
    x = 952,541,840,306.25/622,975.50
  6. Step 6: Final answer
    x = 1,529,019.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.