Finding the Third Proportional to 414,952 and 910,256
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Solution
The third proportional to 414,952 and 910,256 is: 1,996,775.50
Step by Step Solution
- Step 1: Write the proportion equation
414,952 : 910,256 = 910,256 : x - Step 2: Convert to fraction form
414,952/910,256 = 910,256/x - Step 3: Cross multiply
414,952x = 910,256 × 910,256 - Step 4: Simplify right side
414,952x = 828,565,985,536 - Step 5: Solve for x
x = 828,565,985,536/414,952 - Step 6: Final answer
x = 1,996,775.50
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.