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Finding the Third Proportional to 439,258 and 962,565

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Solution

The third proportional to 439,258 and 962,565 is: 2,109,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,258 : 962,565 = 962,565 : x
  2. Step 2: Convert to fraction form
    439,258/962,565 = 962,565/x
  3. Step 3: Cross multiply
    439,258x = 962,565 × 962,565
  4. Step 4: Simplify right side
    439,258x = 926,531,379,225
  5. Step 5: Solve for x
    x = 926,531,379,225/439,258
  6. Step 6: Final answer
    x = 2,109,310.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.