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Finding the Third Proportional to 314,244 and 683,130

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Solution

The third proportional to 314,244 and 683,130 is: 1,485,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,244 : 683,130 = 683,130 : x
  2. Step 2: Convert to fraction form
    314,244/683,130 = 683,130/x
  3. Step 3: Cross multiply
    314,244x = 683,130 × 683,130
  4. Step 4: Simplify right side
    314,244x = 466,666,596,900
  5. Step 5: Solve for x
    x = 466,666,596,900/314,244
  6. Step 6: Final answer
    x = 1,485,045.37

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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.