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Finding the Third Proportional to 288,693,408 and 417,112,110

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Solution

The third proportional to 288,693,408 and 417,112,110 is: 602,654,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693,408 : 417,112,110 = 417,112,110 : x
  2. Step 2: Convert to fraction form
    288,693,408/417,112,110 = 417,112,110/x
  3. Step 3: Cross multiply
    288,693,408x = 417,112,110 × 417,112,110
  4. Step 4: Simplify right side
    288,693,408x = 173,982,512,308,652,096
  5. Step 5: Solve for x
    x = 173,982,512,308,652,096/288,693,408
  6. Step 6: Final answer
    x = 602,654,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.