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Finding the Third Proportional to 515,964 and 743,184

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Solution

The third proportional to 515,964 and 743,184 is: 1,070,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,964 : 743,184 = 743,184 : x
  2. Step 2: Convert to fraction form
    515,964/743,184 = 743,184/x
  3. Step 3: Cross multiply
    515,964x = 743,184 × 743,184
  4. Step 4: Simplify right side
    515,964x = 552,322,457,856
  5. Step 5: Solve for x
    x = 552,322,457,856/515,964
  6. Step 6: Final answer
    x = 1,070,467.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.