Finding the Third Proportional to 272,256,192 and 597,411,648
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Solution
The third proportional to 272,256,192 and 597,411,648 is: 1,310,900,128.82
Step by Step Solution
- Step 1: Write the proportion equation
272,256,192 : 597,411,648 = 597,411,648 : x - Step 2: Convert to fraction form
272,256,192/597,411,648 = 597,411,648/x - Step 3: Cross multiply
272,256,192x = 597,411,648 × 597,411,648 - Step 4: Simplify right side
272,256,192x = 356,900,677,166,075,904 - Step 5: Solve for x
x = 356,900,677,166,075,904/272,256,192 - Step 6: Final answer
x = 1,310,900,128.82
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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.