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Finding the Third Proportional to 535,381 and 734,109

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Solution

The third proportional to 535,381 and 734,109 is: 1,006,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,381 : 734,109 = 734,109 : x
  2. Step 2: Convert to fraction form
    535,381/734,109 = 734,109/x
  3. Step 3: Cross multiply
    535,381x = 734,109 × 734,109
  4. Step 4: Simplify right side
    535,381x = 538,916,023,881
  5. Step 5: Solve for x
    x = 538,916,023,881/535,381
  6. Step 6: Final answer
    x = 1,006,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.