Finding the Third Proportional to 295,740 and 463,329
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Solution
The third proportional to 295,740 and 463,329 is: 725,886.80
Step by Step Solution
- Step 1: Write the proportion equation
295,740 : 463,329 = 463,329 : x - Step 2: Convert to fraction form
295,740/463,329 = 463,329/x - Step 3: Cross multiply
295,740x = 463,329 × 463,329 - Step 4: Simplify right side
295,740x = 214,673,762,241 - Step 5: Solve for x
x = 214,673,762,241/295,740 - Step 6: Final answer
x = 725,886.80
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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.