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Finding the Third Proportional to 298,910 and 645,040

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Solution

The third proportional to 298,910 and 645,040 is: 1,391,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,910 : 645,040 = 645,040 : x
  2. Step 2: Convert to fraction form
    298,910/645,040 = 645,040/x
  3. Step 3: Cross multiply
    298,910x = 645,040 × 645,040
  4. Step 4: Simplify right side
    298,910x = 416,076,601,600
  5. Step 5: Solve for x
    x = 416,076,601,600/298,910
  6. Step 6: Final answer
    x = 1,391,979.53

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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.