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Finding the Third Proportional to 287,053.88 and 422,276.06

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Solution

The third proportional to 287,053.88 and 422,276.06 is: 621,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,053.88 : 422,276.06 = 422,276.06 : x
  2. Step 2: Convert to fraction form
    287,053.88/422,276.06 = 422,276.06/x
  3. Step 3: Cross multiply
    287,053.88x = 422,276.06 × 422,276.06
  4. Step 4: Simplify right side
    287,053.88x = 178,317,072,960.50
  5. Step 5: Solve for x
    x = 178,317,072,960.50/287,053.88
  6. Step 6: Final answer
    x = 621,197.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.