Finding the Third Proportional to 510,176 and 749,676
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Solution
The third proportional to 510,176 and 749,676 is: 1,101,608.28
Step by Step Solution
- Step 1: Write the proportion equation
510,176 : 749,676 = 749,676 : x - Step 2: Convert to fraction form
510,176/749,676 = 749,676/x - Step 3: Cross multiply
510,176x = 749,676 × 749,676 - Step 4: Simplify right side
510,176x = 562,014,104,976 - Step 5: Solve for x
x = 562,014,104,976/510,176 - Step 6: Final answer
x = 1,101,608.28
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.