Finding the Third Proportional to 411,304 and 897,320
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Solution
The third proportional to 411,304 and 897,320 is: 1,957,635.19
Step by Step Solution
- Step 1: Write the proportion equation
411,304 : 897,320 = 897,320 : x - Step 2: Convert to fraction form
411,304/897,320 = 897,320/x - Step 3: Cross multiply
411,304x = 897,320 × 897,320 - Step 4: Simplify right side
411,304x = 805,183,182,400 - Step 5: Solve for x
x = 805,183,182,400/411,304 - Step 6: Final answer
x = 1,957,635.19
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.