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Finding the Third Proportional to 401,629.50 and 869,382

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Solution

The third proportional to 401,629.50 and 869,382 is: 1,881,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,629.50 : 869,382 = 869,382 : x
  2. Step 2: Convert to fraction form
    401,629.50/869,382 = 869,382/x
  3. Step 3: Cross multiply
    401,629.50x = 869,382 × 869,382
  4. Step 4: Simplify right side
    401,629.50x = 755,825,061,924
  5. Step 5: Solve for x
    x = 755,825,061,924/401,629.50
  6. Step 6: Final answer
    x = 1,881,896.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.