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Finding the Third Proportional to 298,032 and 581,079

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Solution

The third proportional to 298,032 and 581,079 is: 1,132,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032 : 581,079 = 581,079 : x
  2. Step 2: Convert to fraction form
    298,032/581,079 = 581,079/x
  3. Step 3: Cross multiply
    298,032x = 581,079 × 581,079
  4. Step 4: Simplify right side
    298,032x = 337,652,804,241
  5. Step 5: Solve for x
    x = 337,652,804,241/298,032
  6. Step 6: Final answer
    x = 1,132,941.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.