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Finding the Third Proportional to 368,025 and 553,880

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Solution

The third proportional to 368,025 and 553,880 is: 833,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,025 : 553,880 = 553,880 : x
  2. Step 2: Convert to fraction form
    368,025/553,880 = 553,880/x
  3. Step 3: Cross multiply
    368,025x = 553,880 × 553,880
  4. Step 4: Simplify right side
    368,025x = 306,783,054,400
  5. Step 5: Solve for x
    x = 306,783,054,400/368,025
  6. Step 6: Final answer
    x = 833,592.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.