Finding the Third Proportional to 299,548.76 and 409,246.17
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Solution
The third proportional to 299,548.76 and 409,246.17 is: 559,115.75
Step by Step Solution
- Step 1: Write the proportion equation
299,548.76 : 409,246.17 = 409,246.17 : x - Step 2: Convert to fraction form
299,548.76/409,246.17 = 409,246.17/x - Step 3: Cross multiply
299,548.76x = 409,246.17 × 409,246.17 - Step 4: Simplify right side
299,548.76x = 167,482,429,194.34 - Step 5: Solve for x
x = 167,482,429,194.34/299,548.76 - Step 6: Final answer
x = 559,115.75
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.