Finding the Third Proportional to 429,801 and 581,639
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Solution
The third proportional to 429,801 and 581,639 is: 787,117.59
Step by Step Solution
- Step 1: Write the proportion equation
429,801 : 581,639 = 581,639 : x - Step 2: Convert to fraction form
429,801/581,639 = 581,639/x - Step 3: Cross multiply
429,801x = 581,639 × 581,639 - Step 4: Simplify right side
429,801x = 338,303,926,321 - Step 5: Solve for x
x = 338,303,926,321/429,801 - Step 6: Final answer
x = 787,117.59
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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.