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Finding the Third Proportional to 384,026 and 592,079

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Solution

The third proportional to 384,026 and 592,079 is: 912,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,026 : 592,079 = 592,079 : x
  2. Step 2: Convert to fraction form
    384,026/592,079 = 592,079/x
  3. Step 3: Cross multiply
    384,026x = 592,079 × 592,079
  4. Step 4: Simplify right side
    384,026x = 350,557,542,241
  5. Step 5: Solve for x
    x = 350,557,542,241/384,026
  6. Step 6: Final answer
    x = 912,848.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.