Finding the Third Proportional to 295,706.25 and 463,263.75
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Solution
The third proportional to 295,706.25 and 463,263.75 is: 725,765.19
Step by Step Solution
- Step 1: Write the proportion equation
295,706.25 : 463,263.75 = 463,263.75 : x - Step 2: Convert to fraction form
295,706.25/463,263.75 = 463,263.75/x - Step 3: Cross multiply
295,706.25x = 463,263.75 × 463,263.75 - Step 4: Simplify right side
295,706.25x = 214,613,302,064.06 - Step 5: Solve for x
x = 214,613,302,064.06/295,706.25 - Step 6: Final answer
x = 725,765.19
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.