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Finding the Third Proportional to 361,590 and 786,604

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Solution

The third proportional to 361,590 and 786,604 is: 1,711,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,590 : 786,604 = 786,604 : x
  2. Step 2: Convert to fraction form
    361,590/786,604 = 786,604/x
  3. Step 3: Cross multiply
    361,590x = 786,604 × 786,604
  4. Step 4: Simplify right side
    361,590x = 618,745,852,816
  5. Step 5: Solve for x
    x = 618,745,852,816/361,590
  6. Step 6: Final answer
    x = 1,711,180.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.