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Finding the Third Proportional to 420,455.25 and 660,816

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Solution

The third proportional to 420,455.25 and 660,816 is: 1,038,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,455.25 : 660,816 = 660,816 : x
  2. Step 2: Convert to fraction form
    420,455.25/660,816 = 660,816/x
  3. Step 3: Cross multiply
    420,455.25x = 660,816 × 660,816
  4. Step 4: Simplify right side
    420,455.25x = 436,677,785,856
  5. Step 5: Solve for x
    x = 436,677,785,856/420,455.25
  6. Step 6: Final answer
    x = 1,038,583.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.