Finding the Third Proportional to 535,784 and 810,564
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Solution
The third proportional to 535,784 and 810,564 is: 1,226,266.55
Step by Step Solution
- Step 1: Write the proportion equation
535,784 : 810,564 = 810,564 : x - Step 2: Convert to fraction form
535,784/810,564 = 810,564/x - Step 3: Cross multiply
535,784x = 810,564 × 810,564 - Step 4: Simplify right side
535,784x = 657,013,998,096 - Step 5: Solve for x
x = 657,013,998,096/535,784 - Step 6: Final answer
x = 1,226,266.55
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.