Finding the Third Proportional to 455,772 and 707,550
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Solution
The third proportional to 455,772 and 707,550 is: 1,098,415.44
Step by Step Solution
- Step 1: Write the proportion equation
455,772 : 707,550 = 707,550 : x - Step 2: Convert to fraction form
455,772/707,550 = 707,550/x - Step 3: Cross multiply
455,772x = 707,550 × 707,550 - Step 4: Simplify right side
455,772x = 500,627,002,500 - Step 5: Solve for x
x = 500,627,002,500/455,772 - Step 6: Final answer
x = 1,098,415.44
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.