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Finding the Third Proportional to 437,302 and 943,508

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Solution

The third proportional to 437,302 and 943,508 is: 2,035,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,302 : 943,508 = 943,508 : x
  2. Step 2: Convert to fraction form
    437,302/943,508 = 943,508/x
  3. Step 3: Cross multiply
    437,302x = 943,508 × 943,508
  4. Step 4: Simplify right side
    437,302x = 890,207,346,064
  5. Step 5: Solve for x
    x = 890,207,346,064/437,302
  6. Step 6: Final answer
    x = 2,035,680.94

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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.