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Finding the Third Proportional to 313,994 and 654,556

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Solution

The third proportional to 313,994 and 654,556 is: 1,364,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994 : 654,556 = 654,556 : x
  2. Step 2: Convert to fraction form
    313,994/654,556 = 654,556/x
  3. Step 3: Cross multiply
    313,994x = 654,556 × 654,556
  4. Step 4: Simplify right side
    313,994x = 428,443,557,136
  5. Step 5: Solve for x
    x = 428,443,557,136/313,994
  6. Step 6: Final answer
    x = 1,364,496.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.