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Finding the Third Proportional to 385,848 and 603,468

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Solution

The third proportional to 385,848 and 603,468 is: 943,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,848 : 603,468 = 603,468 : x
  2. Step 2: Convert to fraction form
    385,848/603,468 = 603,468/x
  3. Step 3: Cross multiply
    385,848x = 603,468 × 603,468
  4. Step 4: Simplify right side
    385,848x = 364,173,627,024
  5. Step 5: Solve for x
    x = 364,173,627,024/385,848
  6. Step 6: Final answer
    x = 943,826.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.