Finding the Third Proportional to 285,360 and 442,464
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Solution
The third proportional to 285,360 and 442,464 is: 686,061.09
Step by Step Solution
- Step 1: Write the proportion equation
285,360 : 442,464 = 442,464 : x - Step 2: Convert to fraction form
285,360/442,464 = 442,464/x - Step 3: Cross multiply
285,360x = 442,464 × 442,464 - Step 4: Simplify right side
285,360x = 195,774,391,296 - Step 5: Solve for x
x = 195,774,391,296/285,360 - Step 6: Final answer
x = 686,061.09
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.