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Finding the Third Proportional to 355,996 and 777,636

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Solution

The third proportional to 355,996 and 777,636 is: 1,698,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,996 : 777,636 = 777,636 : x
  2. Step 2: Convert to fraction form
    355,996/777,636 = 777,636/x
  3. Step 3: Cross multiply
    355,996x = 777,636 × 777,636
  4. Step 4: Simplify right side
    355,996x = 604,717,748,496
  5. Step 5: Solve for x
    x = 604,717,748,496/355,996
  6. Step 6: Final answer
    x = 1,698,664.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.