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Finding the Third Proportional to 209,792 and 456,925

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Solution

The third proportional to 209,792 and 456,925 is: 995,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792 : 456,925 = 456,925 : x
  2. Step 2: Convert to fraction form
    209,792/456,925 = 456,925/x
  3. Step 3: Cross multiply
    209,792x = 456,925 × 456,925
  4. Step 4: Simplify right side
    209,792x = 208,780,455,625
  5. Step 5: Solve for x
    x = 208,780,455,625/209,792
  6. Step 6: Final answer
    x = 995,178.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.