Finding the Third Proportional to 270,908 and 398,506
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Solution
The third proportional to 270,908 and 398,506 is: 586,202.81
Step by Step Solution
- Step 1: Write the proportion equation
270,908 : 398,506 = 398,506 : x - Step 2: Convert to fraction form
270,908/398,506 = 398,506/x - Step 3: Cross multiply
270,908x = 398,506 × 398,506 - Step 4: Simplify right side
270,908x = 158,807,032,036 - Step 5: Solve for x
x = 158,807,032,036/270,908 - Step 6: Final answer
x = 586,202.81
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.