Finding the Third Proportional to 243,637.50 and 586,947
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Solution
The third proportional to 243,637.50 and 586,947 is: 1,414,013.77
Step by Step Solution
- Step 1: Write the proportion equation
243,637.50 : 586,947 = 586,947 : x - Step 2: Convert to fraction form
243,637.50/586,947 = 586,947/x - Step 3: Cross multiply
243,637.50x = 586,947 × 586,947 - Step 4: Simplify right side
243,637.50x = 344,506,780,809 - Step 5: Solve for x
x = 344,506,780,809/243,637.50 - Step 6: Final answer
x = 1,414,013.77
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.