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Finding the Third Proportional to 435,636 and 693,648

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Solution

The third proportional to 435,636 and 693,648 is: 1,104,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,636 : 693,648 = 693,648 : x
  2. Step 2: Convert to fraction form
    435,636/693,648 = 693,648/x
  3. Step 3: Cross multiply
    435,636x = 693,648 × 693,648
  4. Step 4: Simplify right side
    435,636x = 481,147,547,904
  5. Step 5: Solve for x
    x = 481,147,547,904/435,636
  6. Step 6: Final answer
    x = 1,104,471.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.