Finding the Third Proportional to 257,612 and 564,432
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Solution
The third proportional to 257,612 and 564,432 is: 1,236,679.51
Step by Step Solution
- Step 1: Write the proportion equation
257,612 : 564,432 = 564,432 : x - Step 2: Convert to fraction form
257,612/564,432 = 564,432/x - Step 3: Cross multiply
257,612x = 564,432 × 564,432 - Step 4: Simplify right side
257,612x = 318,583,482,624 - Step 5: Solve for x
x = 318,583,482,624/257,612 - Step 6: Final answer
x = 1,236,679.51
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.