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Finding the Third Proportional to 308,299.50 and 675,513

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Solution

The third proportional to 308,299.50 and 675,513 is: 1,480,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,299.50 : 675,513 = 675,513 : x
  2. Step 2: Convert to fraction form
    308,299.50/675,513 = 675,513/x
  3. Step 3: Cross multiply
    308,299.50x = 675,513 × 675,513
  4. Step 4: Simplify right side
    308,299.50x = 456,317,813,169
  5. Step 5: Solve for x
    x = 456,317,813,169/308,299.50
  6. Step 6: Final answer
    x = 1,480,112.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.