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Finding the Third Proportional to 286,374.75 and 565,521.75

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Solution

The third proportional to 286,374.75 and 565,521.75 is: 1,116,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,374.75 : 565,521.75 = 565,521.75 : x
  2. Step 2: Convert to fraction form
    286,374.75/565,521.75 = 565,521.75/x
  3. Step 3: Cross multiply
    286,374.75x = 565,521.75 × 565,521.75
  4. Step 4: Simplify right side
    286,374.75x = 319,814,849,723.06
  5. Step 5: Solve for x
    x = 319,814,849,723.06/286,374.75
  6. Step 6: Final answer
    x = 1,116,770.42

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.