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Finding the Third Proportional to 440,370 and 957,258

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Solution

The third proportional to 440,370 and 957,258 is: 2,080,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,370 : 957,258 = 957,258 : x
  2. Step 2: Convert to fraction form
    440,370/957,258 = 957,258/x
  3. Step 3: Cross multiply
    440,370x = 957,258 × 957,258
  4. Step 4: Simplify right side
    440,370x = 916,342,878,564
  5. Step 5: Solve for x
    x = 916,342,878,564/440,370
  6. Step 6: Final answer
    x = 2,080,847.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.