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Finding the Third Proportional to 354,600 and 777,024

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Solution

The third proportional to 354,600 and 777,024 is: 1,702,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,600 : 777,024 = 777,024 : x
  2. Step 2: Convert to fraction form
    354,600/777,024 = 777,024/x
  3. Step 3: Cross multiply
    354,600x = 777,024 × 777,024
  4. Step 4: Simplify right side
    354,600x = 603,766,296,576
  5. Step 5: Solve for x
    x = 603,766,296,576/354,600
  6. Step 6: Final answer
    x = 1,702,668.63

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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.