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Finding the Third Proportional to 301,708 and 624,284

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Solution

The third proportional to 301,708 and 624,284 is: 1,291,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708 : 624,284 = 624,284 : x
  2. Step 2: Convert to fraction form
    301,708/624,284 = 624,284/x
  3. Step 3: Cross multiply
    301,708x = 624,284 × 624,284
  4. Step 4: Simplify right side
    301,708x = 389,730,512,656
  5. Step 5: Solve for x
    x = 389,730,512,656/301,708
  6. Step 6: Final answer
    x = 1,291,747.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.