Finding the Third Proportional to 510,720 and 808,314
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Solution
The third proportional to 510,720 and 808,314 is: 1,279,314.54
Step by Step Solution
- Step 1: Write the proportion equation
510,720 : 808,314 = 808,314 : x - Step 2: Convert to fraction form
510,720/808,314 = 808,314/x - Step 3: Cross multiply
510,720x = 808,314 × 808,314 - Step 4: Simplify right side
510,720x = 653,371,522,596 - Step 5: Solve for x
x = 653,371,522,596/510,720 - Step 6: Final answer
x = 1,279,314.54
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.