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Finding the Third Proportional to 462,126.50 and 618,132.50

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Solution

The third proportional to 462,126.50 and 618,132.50 is: 826,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,126.50 : 618,132.50 = 618,132.50 : x
  2. Step 2: Convert to fraction form
    462,126.50/618,132.50 = 618,132.50/x
  3. Step 3: Cross multiply
    462,126.50x = 618,132.50 × 618,132.50
  4. Step 4: Simplify right side
    462,126.50x = 382,087,787,556.25
  5. Step 5: Solve for x
    x = 382,087,787,556.25/462,126.50
  6. Step 6: Final answer
    x = 826,803.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.