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Finding the Third Proportional to 374,112 and 774,823.50

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Solution

The third proportional to 374,112 and 774,823.50 is: 1,604,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,112 : 774,823.50 = 774,823.50 : x
  2. Step 2: Convert to fraction form
    374,112/774,823.50 = 774,823.50/x
  3. Step 3: Cross multiply
    374,112x = 774,823.50 × 774,823.50
  4. Step 4: Simplify right side
    374,112x = 600,351,456,152.25
  5. Step 5: Solve for x
    x = 600,351,456,152.25/374,112
  6. Step 6: Final answer
    x = 1,604,737.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.