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Finding the Third Proportional to 306,166 and 671,516

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Solution

The third proportional to 306,166 and 671,516 is: 1,472,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,166 : 671,516 = 671,516 : x
  2. Step 2: Convert to fraction form
    306,166/671,516 = 671,516/x
  3. Step 3: Cross multiply
    306,166x = 671,516 × 671,516
  4. Step 4: Simplify right side
    306,166x = 450,933,738,256
  5. Step 5: Solve for x
    x = 450,933,738,256/306,166
  6. Step 6: Final answer
    x = 1,472,840.68

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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.