Finding the Third Proportional to 257,128 and 553,724
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Solution
The third proportional to 257,128 and 553,724 is: 1,192,442.16
Step by Step Solution
- Step 1: Write the proportion equation
257,128 : 553,724 = 553,724 : x - Step 2: Convert to fraction form
257,128/553,724 = 553,724/x - Step 3: Cross multiply
257,128x = 553,724 × 553,724 - Step 4: Simplify right side
257,128x = 306,610,268,176 - Step 5: Solve for x
x = 306,610,268,176/257,128 - Step 6: Final answer
x = 1,192,442.16
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.