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Finding the Third Proportional to 306,006 and 662,850

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Solution

The third proportional to 306,006 and 662,850 is: 1,435,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,006 : 662,850 = 662,850 : x
  2. Step 2: Convert to fraction form
    306,006/662,850 = 662,850/x
  3. Step 3: Cross multiply
    306,006x = 662,850 × 662,850
  4. Step 4: Simplify right side
    306,006x = 439,370,122,500
  5. Step 5: Solve for x
    x = 439,370,122,500/306,006
  6. Step 6: Final answer
    x = 1,435,821.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.