Finding the Third Proportional to 329,911 and 706,478
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Solution
The third proportional to 329,911 and 706,478 is: 1,512,866.09
Step by Step Solution
- Step 1: Write the proportion equation
329,911 : 706,478 = 706,478 : x - Step 2: Convert to fraction form
329,911/706,478 = 706,478/x - Step 3: Cross multiply
329,911x = 706,478 × 706,478 - Step 4: Simplify right side
329,911x = 499,111,164,484 - Step 5: Solve for x
x = 499,111,164,484/329,911 - Step 6: Final answer
x = 1,512,866.09
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.