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Finding the Third Proportional to 274,966 and 402,604

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Solution

The third proportional to 274,966 and 402,604 is: 589,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,966 : 402,604 = 402,604 : x
  2. Step 2: Convert to fraction form
    274,966/402,604 = 402,604/x
  3. Step 3: Cross multiply
    274,966x = 402,604 × 402,604
  4. Step 4: Simplify right side
    274,966x = 162,089,980,816
  5. Step 5: Solve for x
    x = 162,089,980,816/274,966
  6. Step 6: Final answer
    x = 589,490.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.