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Finding the Third Proportional to 285,951.75 and 502,284

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Solution

The third proportional to 285,951.75 and 502,284 is: 882,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,951.75 : 502,284 = 502,284 : x
  2. Step 2: Convert to fraction form
    285,951.75/502,284 = 502,284/x
  3. Step 3: Cross multiply
    285,951.75x = 502,284 × 502,284
  4. Step 4: Simplify right side
    285,951.75x = 252,289,216,656
  5. Step 5: Solve for x
    x = 252,289,216,656/285,951.75
  6. Step 6: Final answer
    x = 882,278.97

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.