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Finding the Third Proportional to 351,168 and 772,352

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Solution

The third proportional to 351,168 and 772,352 is: 1,698,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,168 : 772,352 = 772,352 : x
  2. Step 2: Convert to fraction form
    351,168/772,352 = 772,352/x
  3. Step 3: Cross multiply
    351,168x = 772,352 × 772,352
  4. Step 4: Simplify right side
    351,168x = 596,527,611,904
  5. Step 5: Solve for x
    x = 596,527,611,904/351,168
  6. Step 6: Final answer
    x = 1,698,695.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.