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Finding the Third Proportional to 297,484 and 610,809

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Solution

The third proportional to 297,484 and 610,809 is: 1,254,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,484 : 610,809 = 610,809 : x
  2. Step 2: Convert to fraction form
    297,484/610,809 = 610,809/x
  3. Step 3: Cross multiply
    297,484x = 610,809 × 610,809
  4. Step 4: Simplify right side
    297,484x = 373,087,634,481
  5. Step 5: Solve for x
    x = 373,087,634,481/297,484
  6. Step 6: Final answer
    x = 1,254,143.53

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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.