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Finding the Third Proportional to 287,681.44 and 431,522.44

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Solution

The third proportional to 287,681.44 and 431,522.44 is: 647,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681.44 : 431,522.44 = 431,522.44 : x
  2. Step 2: Convert to fraction form
    287,681.44/431,522.44 = 431,522.44/x
  3. Step 3: Cross multiply
    287,681.44x = 431,522.44 × 431,522.44
  4. Step 4: Simplify right side
    287,681.44x = 186,211,614,065.94
  5. Step 5: Solve for x
    x = 186,211,614,065.94/287,681.44
  6. Step 6: Final answer
    x = 647,284.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.