Finding the Third Proportional to 233,046 and 499,328
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Solution
The third proportional to 233,046 and 499,328 is: 1,069,867.97
Step by Step Solution
- Step 1: Write the proportion equation
233,046 : 499,328 = 499,328 : x - Step 2: Convert to fraction form
233,046/499,328 = 499,328/x - Step 3: Cross multiply
233,046x = 499,328 × 499,328 - Step 4: Simplify right side
233,046x = 249,328,451,584 - Step 5: Solve for x
x = 249,328,451,584/233,046 - Step 6: Final answer
x = 1,069,867.97
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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.