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Finding the Third Proportional to 310,041 and 444,300

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Solution

The third proportional to 310,041 and 444,300 is: 636,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,041 : 444,300 = 444,300 : x
  2. Step 2: Convert to fraction form
    310,041/444,300 = 444,300/x
  3. Step 3: Cross multiply
    310,041x = 444,300 × 444,300
  4. Step 4: Simplify right side
    310,041x = 197,402,490,000
  5. Step 5: Solve for x
    x = 197,402,490,000/310,041
  6. Step 6: Final answer
    x = 636,698.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.