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Finding the Third Proportional to 493,925 and 744,783

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Solution

The third proportional to 493,925 and 744,783 is: 1,123,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,925 : 744,783 = 744,783 : x
  2. Step 2: Convert to fraction form
    493,925/744,783 = 744,783/x
  3. Step 3: Cross multiply
    493,925x = 744,783 × 744,783
  4. Step 4: Simplify right side
    493,925x = 554,701,717,089
  5. Step 5: Solve for x
    x = 554,701,717,089/493,925
  6. Step 6: Final answer
    x = 1,123,048.47

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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.