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Finding the Third Proportional to 384,072 and 601,292

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Solution

The third proportional to 384,072 and 601,292 is: 941,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,072 : 601,292 = 601,292 : x
  2. Step 2: Convert to fraction form
    384,072/601,292 = 601,292/x
  3. Step 3: Cross multiply
    384,072x = 601,292 × 601,292
  4. Step 4: Simplify right side
    384,072x = 361,552,069,264
  5. Step 5: Solve for x
    x = 361,552,069,264/384,072
  6. Step 6: Final answer
    x = 941,365.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.