Finding the Third Proportional to 297,822 and 642,297
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Solution
The third proportional to 297,822 and 642,297 is: 1,385,208.06
Step by Step Solution
- Step 1: Write the proportion equation
297,822 : 642,297 = 642,297 : x - Step 2: Convert to fraction form
297,822/642,297 = 642,297/x - Step 3: Cross multiply
297,822x = 642,297 × 642,297 - Step 4: Simplify right side
297,822x = 412,545,436,209 - Step 5: Solve for x
x = 412,545,436,209/297,822 - Step 6: Final answer
x = 1,385,208.06
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.