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Finding the Third Proportional to 301,762 and 661,556

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Solution

The third proportional to 301,762 and 661,556 is: 1,450,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,762 : 661,556 = 661,556 : x
  2. Step 2: Convert to fraction form
    301,762/661,556 = 661,556/x
  3. Step 3: Cross multiply
    301,762x = 661,556 × 661,556
  4. Step 4: Simplify right side
    301,762x = 437,656,341,136
  5. Step 5: Solve for x
    x = 437,656,341,136/301,762
  6. Step 6: Final answer
    x = 1,450,336.16

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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.