Finding the Third Proportional to 297,552 and 645,648
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Solution
The third proportional to 297,552 and 645,648 is: 1,400,969.71
Step by Step Solution
- Step 1: Write the proportion equation
297,552 : 645,648 = 645,648 : x - Step 2: Convert to fraction form
297,552/645,648 = 645,648/x - Step 3: Cross multiply
297,552x = 645,648 × 645,648 - Step 4: Simplify right side
297,552x = 416,861,339,904 - Step 5: Solve for x
x = 416,861,339,904/297,552 - Step 6: Final answer
x = 1,400,969.71
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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.