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Finding the Third Proportional to 350,322 and 725,556

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Solution

The third proportional to 350,322 and 725,556 is: 1,502,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,322 : 725,556 = 725,556 : x
  2. Step 2: Convert to fraction form
    350,322/725,556 = 725,556/x
  3. Step 3: Cross multiply
    350,322x = 725,556 × 725,556
  4. Step 4: Simplify right side
    350,322x = 526,431,509,136
  5. Step 5: Solve for x
    x = 526,431,509,136/350,322
  6. Step 6: Final answer
    x = 1,502,707.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.