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Finding the Third Proportional to 298,020 and 649,240.50

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Solution

The third proportional to 298,020 and 649,240.50 is: 1,414,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,020 : 649,240.50 = 649,240.50 : x
  2. Step 2: Convert to fraction form
    298,020/649,240.50 = 649,240.50/x
  3. Step 3: Cross multiply
    298,020x = 649,240.50 × 649,240.50
  4. Step 4: Simplify right side
    298,020x = 421,513,226,840.25
  5. Step 5: Solve for x
    x = 421,513,226,840.25/298,020
  6. Step 6: Final answer
    x = 1,414,378.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.