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Finding the Third Proportional to 603,582 and 905,446

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Solution

The third proportional to 603,582 and 905,446 is: 1,358,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,582 : 905,446 = 905,446 : x
  2. Step 2: Convert to fraction form
    603,582/905,446 = 905,446/x
  3. Step 3: Cross multiply
    603,582x = 905,446 × 905,446
  4. Step 4: Simplify right side
    603,582x = 819,832,458,916
  5. Step 5: Solve for x
    x = 819,832,458,916/603,582
  6. Step 6: Final answer
    x = 1,358,278.51

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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.