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Finding the Third Proportional to 298,525.50 and 648,972

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Solution

The third proportional to 298,525.50 and 648,972 is: 1,410,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,525.50 : 648,972 = 648,972 : x
  2. Step 2: Convert to fraction form
    298,525.50/648,972 = 648,972/x
  3. Step 3: Cross multiply
    298,525.50x = 648,972 × 648,972
  4. Step 4: Simplify right side
    298,525.50x = 421,164,656,784
  5. Step 5: Solve for x
    x = 421,164,656,784/298,525.50
  6. Step 6: Final answer
    x = 1,410,816.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.