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Finding the Third Proportional to 437,258 and 956,272

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Solution

The third proportional to 437,258 and 956,272 is: 2,091,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,258 : 956,272 = 956,272 : x
  2. Step 2: Convert to fraction form
    437,258/956,272 = 956,272/x
  3. Step 3: Cross multiply
    437,258x = 956,272 × 956,272
  4. Step 4: Simplify right side
    437,258x = 914,456,137,984
  5. Step 5: Solve for x
    x = 914,456,137,984/437,258
  6. Step 6: Final answer
    x = 2,091,342.27

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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.