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Finding the Third Proportional to 314,250 and 683,142

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Solution

The third proportional to 314,250 and 683,142 is: 1,485,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,250 : 683,142 = 683,142 : x
  2. Step 2: Convert to fraction form
    314,250/683,142 = 683,142/x
  3. Step 3: Cross multiply
    314,250x = 683,142 × 683,142
  4. Step 4: Simplify right side
    314,250x = 466,682,992,164
  5. Step 5: Solve for x
    x = 466,682,992,164/314,250
  6. Step 6: Final answer
    x = 1,485,069.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.