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Finding the Third Proportional to 298,870.50 and 644,970

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Solution

The third proportional to 298,870.50 and 644,970 is: 1,391,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,870.50 : 644,970 = 644,970 : x
  2. Step 2: Convert to fraction form
    298,870.50/644,970 = 644,970/x
  3. Step 3: Cross multiply
    298,870.50x = 644,970 × 644,970
  4. Step 4: Simplify right side
    298,870.50x = 415,986,300,900
  5. Step 5: Solve for x
    x = 415,986,300,900/298,870.50
  6. Step 6: Final answer
    x = 1,391,861.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.