Finding the Third Proportional to 456,104 and 715,485
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Solution
The third proportional to 456,104 and 715,485 is: 1,122,372.94
Step by Step Solution
- Step 1: Write the proportion equation
456,104 : 715,485 = 715,485 : x - Step 2: Convert to fraction form
456,104/715,485 = 715,485/x - Step 3: Cross multiply
456,104x = 715,485 × 715,485 - Step 4: Simplify right side
456,104x = 511,918,785,225 - Step 5: Solve for x
x = 511,918,785,225/456,104 - Step 6: Final answer
x = 1,122,372.94
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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.