Finding the Third Proportional to 510,300 and 730,458
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Solution
The third proportional to 510,300 and 730,458 is: 1,045,598.45
Step by Step Solution
- Step 1: Write the proportion equation
510,300 : 730,458 = 730,458 : x - Step 2: Convert to fraction form
510,300/730,458 = 730,458/x - Step 3: Cross multiply
510,300x = 730,458 × 730,458 - Step 4: Simplify right side
510,300x = 533,568,889,764 - Step 5: Solve for x
x = 533,568,889,764/510,300 - Step 6: Final answer
x = 1,045,598.45
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.