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Finding the Third Proportional to 433,572 and 927,408

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Solution

The third proportional to 433,572 and 927,408 is: 1,983,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,572 : 927,408 = 927,408 : x
  2. Step 2: Convert to fraction form
    433,572/927,408 = 927,408/x
  3. Step 3: Cross multiply
    433,572x = 927,408 × 927,408
  4. Step 4: Simplify right side
    433,572x = 860,085,598,464
  5. Step 5: Solve for x
    x = 860,085,598,464/433,572
  6. Step 6: Final answer
    x = 1,983,720.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.