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Finding the Third Proportional to 403,208 and 847,778

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Solution

The third proportional to 403,208 and 847,778 is: 1,782,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,208 : 847,778 = 847,778 : x
  2. Step 2: Convert to fraction form
    403,208/847,778 = 847,778/x
  3. Step 3: Cross multiply
    403,208x = 847,778 × 847,778
  4. Step 4: Simplify right side
    403,208x = 718,727,537,284
  5. Step 5: Solve for x
    x = 718,727,537,284/403,208
  6. Step 6: Final answer
    x = 1,782,523.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.