Finding the Third Proportional to 420,432 and 652,758
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Solution
The third proportional to 420,432 and 652,758 is: 1,013,464.74
Step by Step Solution
- Step 1: Write the proportion equation
420,432 : 652,758 = 652,758 : x - Step 2: Convert to fraction form
420,432/652,758 = 652,758/x - Step 3: Cross multiply
420,432x = 652,758 × 652,758 - Step 4: Simplify right side
420,432x = 426,093,006,564 - Step 5: Solve for x
x = 426,093,006,564/420,432 - Step 6: Final answer
x = 1,013,464.74
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.