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Finding the Third Proportional to 286,632 and 612,360

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Solution

The third proportional to 286,632 and 612,360 is: 1,308,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,632 : 612,360 = 612,360 : x
  2. Step 2: Convert to fraction form
    286,632/612,360 = 612,360/x
  3. Step 3: Cross multiply
    286,632x = 612,360 × 612,360
  4. Step 4: Simplify right side
    286,632x = 374,984,769,600
  5. Step 5: Solve for x
    x = 374,984,769,600/286,632
  6. Step 6: Final answer
    x = 1,308,244.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.