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Finding the Third Proportional to 406,818 and 613,921.50

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Solution

The third proportional to 406,818 and 613,921.50 is: 926,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,818 : 613,921.50 = 613,921.50 : x
  2. Step 2: Convert to fraction form
    406,818/613,921.50 = 613,921.50/x
  3. Step 3: Cross multiply
    406,818x = 613,921.50 × 613,921.50
  4. Step 4: Simplify right side
    406,818x = 376,899,608,162.25
  5. Step 5: Solve for x
    x = 376,899,608,162.25/406,818
  6. Step 6: Final answer
    x = 926,457.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.