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Finding the Third Proportional to 632,000 and 894,258

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Solution

The third proportional to 632,000 and 894,258 is: 1,265,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,000 : 894,258 = 894,258 : x
  2. Step 2: Convert to fraction form
    632,000/894,258 = 894,258/x
  3. Step 3: Cross multiply
    632,000x = 894,258 × 894,258
  4. Step 4: Simplify right side
    632,000x = 799,697,370,564
  5. Step 5: Solve for x
    x = 799,697,370,564/632,000
  6. Step 6: Final answer
    x = 1,265,343.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.