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Finding the Third Proportional to 285,893.14 and 419,290.96

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Solution

The third proportional to 285,893.14 and 419,290.96 is: 614,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,893.14 : 419,290.96 = 419,290.96 : x
  2. Step 2: Convert to fraction form
    285,893.14/419,290.96 = 419,290.96/x
  3. Step 3: Cross multiply
    285,893.14x = 419,290.96 × 419,290.96
  4. Step 4: Simplify right side
    285,893.14x = 175,804,911,561.76
  5. Step 5: Solve for x
    x = 175,804,911,561.76/285,893.14
  6. Step 6: Final answer
    x = 614,932.25

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Why These Related Problems?

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