Finding the Third Proportional to 498,366,057 and 773,669,196
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Solution
The third proportional to 498,366,057 and 773,669,196 is: 1,201,052,953.81
Step by Step Solution
- Step 1: Write the proportion equation
498,366,057 : 773,669,196 = 773,669,196 : x - Step 2: Convert to fraction form
498,366,057/773,669,196 = 773,669,196/x - Step 3: Cross multiply
498,366,057x = 773,669,196 × 773,669,196 - Step 4: Simplify right side
498,366,057x = 598,564,024,839,286,400 - Step 5: Solve for x
x = 598,564,024,839,286,400/498,366,057 - Step 6: Final answer
x = 1,201,052,953.81
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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.