Finding the Third Proportional to 320,528 and 683,959
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Solution
The third proportional to 320,528 and 683,959 is: 1,459,466.61
Step by Step Solution
- Step 1: Write the proportion equation
320,528 : 683,959 = 683,959 : x - Step 2: Convert to fraction form
320,528/683,959 = 683,959/x - Step 3: Cross multiply
320,528x = 683,959 × 683,959 - Step 4: Simplify right side
320,528x = 467,799,913,681 - Step 5: Solve for x
x = 467,799,913,681/320,528 - Step 6: Final answer
x = 1,459,466.61
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.