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Finding the Third Proportional to 301,024 and 658,019

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Solution

The third proportional to 301,024 and 658,019 is: 1,438,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024 : 658,019 = 658,019 : x
  2. Step 2: Convert to fraction form
    301,024/658,019 = 658,019/x
  3. Step 3: Cross multiply
    301,024x = 658,019 × 658,019
  4. Step 4: Simplify right side
    301,024x = 432,989,004,361
  5. Step 5: Solve for x
    x = 432,989,004,361/301,024
  6. Step 6: Final answer
    x = 1,438,386.99

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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.