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Finding the Third Proportional to 297,526 and 655,408

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Solution

The third proportional to 297,526 and 655,408 is: 1,443,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,526 : 655,408 = 655,408 : x
  2. Step 2: Convert to fraction form
    297,526/655,408 = 655,408/x
  3. Step 3: Cross multiply
    297,526x = 655,408 × 655,408
  4. Step 4: Simplify right side
    297,526x = 429,559,646,464
  5. Step 5: Solve for x
    x = 429,559,646,464/297,526
  6. Step 6: Final answer
    x = 1,443,771.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.