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Finding the Third Proportional to 304,412.50 and 484,810

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Solution

The third proportional to 304,412.50 and 484,810 is: 772,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,412.50 : 484,810 = 484,810 : x
  2. Step 2: Convert to fraction form
    304,412.50/484,810 = 484,810/x
  3. Step 3: Cross multiply
    304,412.50x = 484,810 × 484,810
  4. Step 4: Simplify right side
    304,412.50x = 235,040,736,100
  5. Step 5: Solve for x
    x = 235,040,736,100/304,412.50
  6. Step 6: Final answer
    x = 772,112.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.