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Finding the Third Proportional to 603,594 and 905,463

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Solution

The third proportional to 603,594 and 905,463 is: 1,358,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,594 : 905,463 = 905,463 : x
  2. Step 2: Convert to fraction form
    603,594/905,463 = 905,463/x
  3. Step 3: Cross multiply
    603,594x = 905,463 × 905,463
  4. Step 4: Simplify right side
    603,594x = 819,863,244,369
  5. Step 5: Solve for x
    x = 819,863,244,369/603,594
  6. Step 6: Final answer
    x = 1,358,302.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.