Finding the Third Proportional to 294,924 and 645,043
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Solution
The third proportional to 294,924 and 645,043 is: 1,410,805.74
Step by Step Solution
- Step 1: Write the proportion equation
294,924 : 645,043 = 645,043 : x - Step 2: Convert to fraction form
294,924/645,043 = 645,043/x - Step 3: Cross multiply
294,924x = 645,043 × 645,043 - Step 4: Simplify right side
294,924x = 416,080,471,849 - Step 5: Solve for x
x = 416,080,471,849/294,924 - Step 6: Final answer
x = 1,410,805.74
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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.