Finding the Third Proportional to 258,720 and 565,534
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Solution
The third proportional to 258,720 and 565,534 is: 1,236,196.29
Step by Step Solution
- Step 1: Write the proportion equation
258,720 : 565,534 = 565,534 : x - Step 2: Convert to fraction form
258,720/565,534 = 565,534/x - Step 3: Cross multiply
258,720x = 565,534 × 565,534 - Step 4: Simplify right side
258,720x = 319,828,705,156 - Step 5: Solve for x
x = 319,828,705,156/258,720 - Step 6: Final answer
x = 1,236,196.29
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.