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Finding the Third Proportional to 237,638.63 and 528,408

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Solution

The third proportional to 237,638.63 and 528,408 is: 1,174,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,638.63 : 528,408 = 528,408 : x
  2. Step 2: Convert to fraction form
    237,638.63/528,408 = 528,408/x
  3. Step 3: Cross multiply
    237,638.63x = 528,408 × 528,408
  4. Step 4: Simplify right side
    237,638.63x = 279,215,014,464
  5. Step 5: Solve for x
    x = 279,215,014,464/237,638.63
  6. Step 6: Final answer
    x = 1,174,956.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.