Finding the Third Proportional to 269,216 and 566,336
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Solution
The third proportional to 269,216 and 566,336 is: 1,191,372.22
Step by Step Solution
- Step 1: Write the proportion equation
269,216 : 566,336 = 566,336 : x - Step 2: Convert to fraction form
269,216/566,336 = 566,336/x - Step 3: Cross multiply
269,216x = 566,336 × 566,336 - Step 4: Simplify right side
269,216x = 320,736,464,896 - Step 5: Solve for x
x = 320,736,464,896/269,216 - Step 6: Final answer
x = 1,191,372.22
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.