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Finding the Third Proportional to 493,507 and 743,906

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Solution

The third proportional to 493,507 and 743,906 is: 1,121,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,507 : 743,906 = 743,906 : x
  2. Step 2: Convert to fraction form
    493,507/743,906 = 743,906/x
  3. Step 3: Cross multiply
    493,507x = 743,906 × 743,906
  4. Step 4: Simplify right side
    493,507x = 553,396,136,836
  5. Step 5: Solve for x
    x = 553,396,136,836/493,507
  6. Step 6: Final answer
    x = 1,121,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.