Finding the Third Proportional to 294 and 522
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Solution
The third proportional to 294 and 522 is: 926.82
Step by Step Solution
- Step 1: Write the proportion equation
294 : 522 = 522 : x - Step 2: Convert to fraction form
294/522 = 522/x - Step 3: Cross multiply
294x = 522 × 522 - Step 4: Simplify right side
294x = 272,484 - Step 5: Solve for x
x = 272,484/294 - Step 6: Final answer
x = 926.82
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.