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Finding the Third Proportional to 245,268 and 432,276.75

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Solution

The third proportional to 245,268 and 432,276.75 is: 761,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,268 : 432,276.75 = 432,276.75 : x
  2. Step 2: Convert to fraction form
    245,268/432,276.75 = 432,276.75/x
  3. Step 3: Cross multiply
    245,268x = 432,276.75 × 432,276.75
  4. Step 4: Simplify right side
    245,268x = 186,863,188,590.56
  5. Step 5: Solve for x
    x = 186,863,188,590.56/245,268
  6. Step 6: Final answer
    x = 761,873.50

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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.