Finding the Third Proportional to 217,098 and 472,428
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Solution
The third proportional to 217,098 and 472,428 is: 1,028,052.84
Step by Step Solution
- Step 1: Write the proportion equation
217,098 : 472,428 = 472,428 : x - Step 2: Convert to fraction form
217,098/472,428 = 472,428/x - Step 3: Cross multiply
217,098x = 472,428 × 472,428 - Step 4: Simplify right side
217,098x = 223,188,215,184 - Step 5: Solve for x
x = 223,188,215,184/217,098 - Step 6: Final answer
x = 1,028,052.84
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.