Finding the Third Proportional to 527,460 and 838,602
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Solution
The third proportional to 527,460 and 838,602 is: 1,333,282.74
Step by Step Solution
- Step 1: Write the proportion equation
527,460 : 838,602 = 838,602 : x - Step 2: Convert to fraction form
527,460/838,602 = 838,602/x - Step 3: Cross multiply
527,460x = 838,602 × 838,602 - Step 4: Simplify right side
527,460x = 703,253,314,404 - Step 5: Solve for x
x = 703,253,314,404/527,460 - Step 6: Final answer
x = 1,333,282.74
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.