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Finding the Third Proportional to 263,502 and 585,960.50

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Solution

The third proportional to 263,502 and 585,960.50 is: 1,303,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,502 : 585,960.50 = 585,960.50 : x
  2. Step 2: Convert to fraction form
    263,502/585,960.50 = 585,960.50/x
  3. Step 3: Cross multiply
    263,502x = 585,960.50 × 585,960.50
  4. Step 4: Simplify right side
    263,502x = 343,349,707,560.25
  5. Step 5: Solve for x
    x = 343,349,707,560.25/263,502
  6. Step 6: Final answer
    x = 1,303,025.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.