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Finding the Third Proportional to 602,290.69 and 886,782.94

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Solution

The third proportional to 602,290.69 and 886,782.94 is: 1,305,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,290.69 : 886,782.94 = 886,782.94 : x
  2. Step 2: Convert to fraction form
    602,290.69/886,782.94 = 886,782.94/x
  3. Step 3: Cross multiply
    602,290.69x = 886,782.94 × 886,782.94
  4. Step 4: Simplify right side
    602,290.69x = 786,383,978,241.13
  5. Step 5: Solve for x
    x = 786,383,978,241.13/602,290.69
  6. Step 6: Final answer
    x = 1,305,655.22

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Why These Related Problems?

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