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Finding the Third Proportional to 288,301 and 619,229

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Solution

The third proportional to 288,301 and 619,229 is: 1,330,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,301 : 619,229 = 619,229 : x
  2. Step 2: Convert to fraction form
    288,301/619,229 = 619,229/x
  3. Step 3: Cross multiply
    288,301x = 619,229 × 619,229
  4. Step 4: Simplify right side
    288,301x = 383,444,554,441
  5. Step 5: Solve for x
    x = 383,444,554,441/288,301
  6. Step 6: Final answer
    x = 1,330,014.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.