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Finding the Third Proportional to 306,616 and 670,232

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Solution

The third proportional to 306,616 and 670,232 is: 1,465,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,616 : 670,232 = 670,232 : x
  2. Step 2: Convert to fraction form
    306,616/670,232 = 670,232/x
  3. Step 3: Cross multiply
    306,616x = 670,232 × 670,232
  4. Step 4: Simplify right side
    306,616x = 449,210,933,824
  5. Step 5: Solve for x
    x = 449,210,933,824/306,616
  6. Step 6: Final answer
    x = 1,465,060.32

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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.