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Finding the Third Proportional to 233,628 and 366,078

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Solution

The third proportional to 233,628 and 366,078 is: 573,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,628 : 366,078 = 366,078 : x
  2. Step 2: Convert to fraction form
    233,628/366,078 = 366,078/x
  3. Step 3: Cross multiply
    233,628x = 366,078 × 366,078
  4. Step 4: Simplify right side
    233,628x = 134,013,102,084
  5. Step 5: Solve for x
    x = 134,013,102,084/233,628
  6. Step 6: Final answer
    x = 573,617.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.