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Finding the Third Proportional to 505,324 and 743,206

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Solution

The third proportional to 505,324 and 743,206 is: 1,093,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,324 : 743,206 = 743,206 : x
  2. Step 2: Convert to fraction form
    505,324/743,206 = 743,206/x
  3. Step 3: Cross multiply
    505,324x = 743,206 × 743,206
  4. Step 4: Simplify right side
    505,324x = 552,355,158,436
  5. Step 5: Solve for x
    x = 552,355,158,436/505,324
  6. Step 6: Final answer
    x = 1,093,071.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.