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Finding the Third Proportional to 235,407 and 509,968.50

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Solution

The third proportional to 235,407 and 509,968.50 is: 1,104,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,407 : 509,968.50 = 509,968.50 : x
  2. Step 2: Convert to fraction form
    235,407/509,968.50 = 509,968.50/x
  3. Step 3: Cross multiply
    235,407x = 509,968.50 × 509,968.50
  4. Step 4: Simplify right side
    235,407x = 260,067,870,992.25
  5. Step 5: Solve for x
    x = 260,067,870,992.25/235,407
  6. Step 6: Final answer
    x = 1,104,758.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.