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Finding the Third Proportional to 298,635 and 644,776

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Solution

The third proportional to 298,635 and 644,776 is: 1,392,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,635 : 644,776 = 644,776 : x
  2. Step 2: Convert to fraction form
    298,635/644,776 = 644,776/x
  3. Step 3: Cross multiply
    298,635x = 644,776 × 644,776
  4. Step 4: Simplify right side
    298,635x = 415,736,090,176
  5. Step 5: Solve for x
    x = 415,736,090,176/298,635
  6. Step 6: Final answer
    x = 1,392,121.12

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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.