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Finding the Third Proportional to 612,432 and 900,504

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Solution

The third proportional to 612,432 and 900,504 is: 1,324,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,432 : 900,504 = 900,504 : x
  2. Step 2: Convert to fraction form
    612,432/900,504 = 900,504/x
  3. Step 3: Cross multiply
    612,432x = 900,504 × 900,504
  4. Step 4: Simplify right side
    612,432x = 810,907,454,016
  5. Step 5: Solve for x
    x = 810,907,454,016/612,432
  6. Step 6: Final answer
    x = 1,324,077.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.