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Finding the Third Proportional to 462,125.25 and 618,131.25

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Solution

The third proportional to 462,125.25 and 618,131.25 is: 826,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,125.25 : 618,131.25 = 618,131.25 : x
  2. Step 2: Convert to fraction form
    462,125.25/618,131.25 = 618,131.25/x
  3. Step 3: Cross multiply
    462,125.25x = 618,131.25 × 618,131.25
  4. Step 4: Simplify right side
    462,125.25x = 382,086,242,226.56
  5. Step 5: Solve for x
    x = 382,086,242,226.56/462,125.25
  6. Step 6: Final answer
    x = 826,802.35

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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.