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Finding the Third Proportional to 441,650 and 953,284

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Solution

The third proportional to 441,650 and 953,284 is: 2,057,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,650 : 953,284 = 953,284 : x
  2. Step 2: Convert to fraction form
    441,650/953,284 = 953,284/x
  3. Step 3: Cross multiply
    441,650x = 953,284 × 953,284
  4. Step 4: Simplify right side
    441,650x = 908,750,384,656
  5. Step 5: Solve for x
    x = 908,750,384,656/441,650
  6. Step 6: Final answer
    x = 2,057,625.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.