Finding the Third Proportional to 233,896 and 499,784
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Solution
The third proportional to 233,896 and 499,784 is: 1,067,927.83
Step by Step Solution
- Step 1: Write the proportion equation
233,896 : 499,784 = 499,784 : x - Step 2: Convert to fraction form
233,896/499,784 = 499,784/x - Step 3: Cross multiply
233,896x = 499,784 × 499,784 - Step 4: Simplify right side
233,896x = 249,784,046,656 - Step 5: Solve for x
x = 249,784,046,656/233,896 - Step 6: Final answer
x = 1,067,927.83
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.