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Finding the Third Proportional to 301,023 and 658,017

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Solution

The third proportional to 301,023 and 658,017 is: 1,438,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,023 : 658,017 = 658,017 : x
  2. Step 2: Convert to fraction form
    301,023/658,017 = 658,017/x
  3. Step 3: Cross multiply
    301,023x = 658,017 × 658,017
  4. Step 4: Simplify right side
    301,023x = 432,986,372,289
  5. Step 5: Solve for x
    x = 432,986,372,289/301,023
  6. Step 6: Final answer
    x = 1,438,383.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.