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Finding the Third Proportional to 401,922 and 803,839.50

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Solution

The third proportional to 401,922 and 803,839.50 is: 1,607,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,922 : 803,839.50 = 803,839.50 : x
  2. Step 2: Convert to fraction form
    401,922/803,839.50 = 803,839.50/x
  3. Step 3: Cross multiply
    401,922x = 803,839.50 × 803,839.50
  4. Step 4: Simplify right side
    401,922x = 646,157,941,760.25
  5. Step 5: Solve for x
    x = 646,157,941,760.25/401,922
  6. Step 6: Final answer
    x = 1,607,670.00

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.