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Finding the Third Proportional to 314,022 and 485,145

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Solution

The third proportional to 314,022 and 485,145 is: 749,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,022 : 485,145 = 485,145 : x
  2. Step 2: Convert to fraction form
    314,022/485,145 = 485,145/x
  3. Step 3: Cross multiply
    314,022x = 485,145 × 485,145
  4. Step 4: Simplify right side
    314,022x = 235,365,671,025
  5. Step 5: Solve for x
    x = 235,365,671,025/314,022
  6. Step 6: Final answer
    x = 749,519.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.