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Finding the Third Proportional to 283,095 and 434,470.50

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Solution

The third proportional to 283,095 and 434,470.50 is: 666,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,095 : 434,470.50 = 434,470.50 : x
  2. Step 2: Convert to fraction form
    283,095/434,470.50 = 434,470.50/x
  3. Step 3: Cross multiply
    283,095x = 434,470.50 × 434,470.50
  4. Step 4: Simplify right side
    283,095x = 188,764,615,370.25
  5. Step 5: Solve for x
    x = 188,764,615,370.25/283,095
  6. Step 6: Final answer
    x = 666,788.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.