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Finding the Third Proportional to 603,587 and 905,453

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Solution

The third proportional to 603,587 and 905,453 is: 1,358,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,587 : 905,453 = 905,453 : x
  2. Step 2: Convert to fraction form
    603,587/905,453 = 905,453/x
  3. Step 3: Cross multiply
    603,587x = 905,453 × 905,453
  4. Step 4: Simplify right side
    603,587x = 819,845,135,209
  5. Step 5: Solve for x
    x = 819,845,135,209/603,587
  6. Step 6: Final answer
    x = 1,358,288.26

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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.