Finding the Third Proportional to 294,672 and 643,316
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Solution
The third proportional to 294,672 and 643,316 is: 1,404,461.49
Step by Step Solution
- Step 1: Write the proportion equation
294,672 : 643,316 = 643,316 : x - Step 2: Convert to fraction form
294,672/643,316 = 643,316/x - Step 3: Cross multiply
294,672x = 643,316 × 643,316 - Step 4: Simplify right side
294,672x = 413,855,475,856 - Step 5: Solve for x
x = 413,855,475,856/294,672 - Step 6: Final answer
x = 1,404,461.49
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.