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Finding the Third Proportional to 297,481 and 610,800

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Solution

The third proportional to 297,481 and 610,800 is: 1,254,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,481 : 610,800 = 610,800 : x
  2. Step 2: Convert to fraction form
    297,481/610,800 = 610,800/x
  3. Step 3: Cross multiply
    297,481x = 610,800 × 610,800
  4. Step 4: Simplify right side
    297,481x = 373,076,640,000
  5. Step 5: Solve for x
    x = 373,076,640,000/297,481
  6. Step 6: Final answer
    x = 1,254,119.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.