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Finding the Third Proportional to 603,595 and 905,465

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Solution

The third proportional to 603,595 and 905,465 is: 1,358,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,595 : 905,465 = 905,465 : x
  2. Step 2: Convert to fraction form
    603,595/905,465 = 905,465/x
  3. Step 3: Cross multiply
    603,595x = 905,465 × 905,465
  4. Step 4: Simplify right side
    603,595x = 819,866,866,225
  5. Step 5: Solve for x
    x = 819,866,866,225/603,595
  6. Step 6: Final answer
    x = 1,358,306.26

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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.