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Finding the Third Proportional to 322,215,408 and 477,283,050

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Solution

The third proportional to 322,215,408 and 477,283,050 is: 706,977,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,215,408 : 477,283,050 = 477,283,050 : x
  2. Step 2: Convert to fraction form
    322,215,408/477,283,050 = 477,283,050/x
  3. Step 3: Cross multiply
    322,215,408x = 477,283,050 × 477,283,050
  4. Step 4: Simplify right side
    322,215,408x = 227,799,109,817,302,496
  5. Step 5: Solve for x
    x = 227,799,109,817,302,496/322,215,408
  6. Step 6: Final answer
    x = 706,977,705.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.