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Finding the Third Proportional to 377,594 and 820,928

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Solution

The third proportional to 377,594 and 820,928 is: 1,784,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,594 : 820,928 = 820,928 : x
  2. Step 2: Convert to fraction form
    377,594/820,928 = 820,928/x
  3. Step 3: Cross multiply
    377,594x = 820,928 × 820,928
  4. Step 4: Simplify right side
    377,594x = 673,922,781,184
  5. Step 5: Solve for x
    x = 673,922,781,184/377,594
  6. Step 6: Final answer
    x = 1,784,781.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.