Finding the Third Proportional to 299,484 and 648,763
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Solution
The third proportional to 299,484 and 648,763 is: 1,405,395.38
Step by Step Solution
- Step 1: Write the proportion equation
299,484 : 648,763 = 648,763 : x - Step 2: Convert to fraction form
299,484/648,763 = 648,763/x - Step 3: Cross multiply
299,484x = 648,763 × 648,763 - Step 4: Simplify right side
299,484x = 420,893,430,169 - Step 5: Solve for x
x = 420,893,430,169/299,484 - Step 6: Final answer
x = 1,405,395.38
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.