Finding the Third Proportional to 210,996 and 497,772
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Solution
The third proportional to 210,996 and 497,772 is: 1,174,320.67
Step by Step Solution
- Step 1: Write the proportion equation
210,996 : 497,772 = 497,772 : x - Step 2: Convert to fraction form
210,996/497,772 = 497,772/x - Step 3: Cross multiply
210,996x = 497,772 × 497,772 - Step 4: Simplify right side
210,996x = 247,776,963,984 - Step 5: Solve for x
x = 247,776,963,984/210,996 - Step 6: Final answer
x = 1,174,320.67
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.