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Finding the Third Proportional to 493,594 and 744,034

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Solution

The third proportional to 493,594 and 744,034 is: 1,121,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,594 : 744,034 = 744,034 : x
  2. Step 2: Convert to fraction form
    493,594/744,034 = 744,034/x
  3. Step 3: Cross multiply
    493,594x = 744,034 × 744,034
  4. Step 4: Simplify right side
    493,594x = 553,586,593,156
  5. Step 5: Solve for x
    x = 553,586,593,156/493,594
  6. Step 6: Final answer
    x = 1,121,542.39

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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.