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Finding the Third Proportional to 284,594 and 380,829

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Solution

The third proportional to 284,594 and 380,829 is: 509,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,594 : 380,829 = 380,829 : x
  2. Step 2: Convert to fraction form
    284,594/380,829 = 380,829/x
  3. Step 3: Cross multiply
    284,594x = 380,829 × 380,829
  4. Step 4: Simplify right side
    284,594x = 145,030,727,241
  5. Step 5: Solve for x
    x = 145,030,727,241/284,594
  6. Step 6: Final answer
    x = 509,605.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.