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Finding the Third Proportional to 399,092 and 583,072

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Solution

The third proportional to 399,092 and 583,072 is: 851,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,092 : 583,072 = 583,072 : x
  2. Step 2: Convert to fraction form
    399,092/583,072 = 583,072/x
  3. Step 3: Cross multiply
    399,092x = 583,072 × 583,072
  4. Step 4: Simplify right side
    399,092x = 339,972,957,184
  5. Step 5: Solve for x
    x = 339,972,957,184/399,092
  6. Step 6: Final answer
    x = 851,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.