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Finding the Third Proportional to 233,632 and 366,084

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Solution

The third proportional to 233,632 and 366,084 is: 573,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,632 : 366,084 = 366,084 : x
  2. Step 2: Convert to fraction form
    233,632/366,084 = 366,084/x
  3. Step 3: Cross multiply
    233,632x = 366,084 × 366,084
  4. Step 4: Simplify right side
    233,632x = 134,017,495,056
  5. Step 5: Solve for x
    x = 134,017,495,056/233,632
  6. Step 6: Final answer
    x = 573,626.45

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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.