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Finding the Third Proportional to 292,922 and 609,171

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Solution

The third proportional to 292,922 and 609,171 is: 1,266,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,922 : 609,171 = 609,171 : x
  2. Step 2: Convert to fraction form
    292,922/609,171 = 609,171/x
  3. Step 3: Cross multiply
    292,922x = 609,171 × 609,171
  4. Step 4: Simplify right side
    292,922x = 371,089,307,241
  5. Step 5: Solve for x
    x = 371,089,307,241/292,922
  6. Step 6: Final answer
    x = 1,266,853.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.