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Finding the Third Proportional to 385,236 and 592,434

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Solution

The third proportional to 385,236 and 592,434 is: 911,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,236 : 592,434 = 592,434 : x
  2. Step 2: Convert to fraction form
    385,236/592,434 = 592,434/x
  3. Step 3: Cross multiply
    385,236x = 592,434 × 592,434
  4. Step 4: Simplify right side
    385,236x = 350,978,044,356
  5. Step 5: Solve for x
    x = 350,978,044,356/385,236
  6. Step 6: Final answer
    x = 911,072.81

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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.