Finding the Third Proportional to 272,256,096 and 597,411,456
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Solution
The third proportional to 272,256,096 and 597,411,456 is: 1,310,899,748.45
Step by Step Solution
- Step 1: Write the proportion equation
272,256,096 : 597,411,456 = 597,411,456 : x - Step 2: Convert to fraction form
272,256,096/597,411,456 = 597,411,456/x - Step 3: Cross multiply
272,256,096x = 597,411,456 × 597,411,456 - Step 4: Simplify right side
272,256,096x = 356,900,447,760,039,936 - Step 5: Solve for x
x = 356,900,447,760,039,936/272,256,096 - Step 6: Final answer
x = 1,310,899,748.45
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.