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Finding the Third Proportional to 301,698 and 624,271.50

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Solution

The third proportional to 301,698 and 624,271.50 is: 1,291,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698 : 624,271.50 = 624,271.50 : x
  2. Step 2: Convert to fraction form
    301,698/624,271.50 = 624,271.50/x
  3. Step 3: Cross multiply
    301,698x = 624,271.50 × 624,271.50
  4. Step 4: Simplify right side
    301,698x = 389,714,905,712.25
  5. Step 5: Solve for x
    x = 389,714,905,712.25/301,698
  6. Step 6: Final answer
    x = 1,291,738.45

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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.