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Finding the Third Proportional to 286,876.69 and 421,567.03

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Solution

The third proportional to 286,876.69 and 421,567.03 is: 619,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,876.69 : 421,567.03 = 421,567.03 : x
  2. Step 2: Convert to fraction form
    286,876.69/421,567.03 = 421,567.03/x
  3. Step 3: Cross multiply
    286,876.69x = 421,567.03 × 421,567.03
  4. Step 4: Simplify right side
    286,876.69x = 177,718,761,836.94
  5. Step 5: Solve for x
    x = 177,718,761,836.94/286,876.69
  6. Step 6: Final answer
    x = 619,495.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.