Finding the Third Proportional to 385,798 and 520,423
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Solution
The third proportional to 385,798 and 520,423 is: 702,025.67
Step by Step Solution
- Step 1: Write the proportion equation
385,798 : 520,423 = 520,423 : x - Step 2: Convert to fraction form
385,798/520,423 = 520,423/x - Step 3: Cross multiply
385,798x = 520,423 × 520,423 - Step 4: Simplify right side
385,798x = 270,840,098,929 - Step 5: Solve for x
x = 270,840,098,929/385,798 - Step 6: Final answer
x = 702,025.67
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.