Finding the Third Proportional to 506,686 and 712,550
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Solution
The third proportional to 506,686 and 712,550 is: 1,002,055.52
Step by Step Solution
- Step 1: Write the proportion equation
506,686 : 712,550 = 712,550 : x - Step 2: Convert to fraction form
506,686/712,550 = 712,550/x - Step 3: Cross multiply
506,686x = 712,550 × 712,550 - Step 4: Simplify right side
506,686x = 507,727,502,500 - Step 5: Solve for x
x = 507,727,502,500/506,686 - Step 6: Final answer
x = 1,002,055.52
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.