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Finding the Third Proportional to 308,208 and 662,248.50

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Solution

The third proportional to 308,208 and 662,248.50 is: 1,422,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,208 : 662,248.50 = 662,248.50 : x
  2. Step 2: Convert to fraction form
    308,208/662,248.50 = 662,248.50/x
  3. Step 3: Cross multiply
    308,208x = 662,248.50 × 662,248.50
  4. Step 4: Simplify right side
    308,208x = 438,573,075,752.25
  5. Step 5: Solve for x
    x = 438,573,075,752.25/308,208
  6. Step 6: Final answer
    x = 1,422,977.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.