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Finding the Third Proportional to 406,721.25 and 618,374.25

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Solution

The third proportional to 406,721.25 and 618,374.25 is: 940,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,721.25 : 618,374.25 = 618,374.25 : x
  2. Step 2: Convert to fraction form
    406,721.25/618,374.25 = 618,374.25/x
  3. Step 3: Cross multiply
    406,721.25x = 618,374.25 × 618,374.25
  4. Step 4: Simplify right side
    406,721.25x = 382,386,713,063.06
  5. Step 5: Solve for x
    x = 382,386,713,063.06/406,721.25
  6. Step 6: Final answer
    x = 940,169.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.