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Finding the Third Proportional to 603,501.75 and 905,266.13

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Solution

The third proportional to 603,501.75 and 905,266.13 is: 1,357,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,501.75 : 905,266.13 = 905,266.13 : x
  2. Step 2: Convert to fraction form
    603,501.75/905,266.13 = 905,266.13/x
  3. Step 3: Cross multiply
    603,501.75x = 905,266.13 × 905,266.13
  4. Step 4: Simplify right side
    603,501.75x = 819,506,757,072.52
  5. Step 5: Solve for x
    x = 819,506,757,072.52/603,501.75
  6. Step 6: Final answer
    x = 1,357,919.44

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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.