Finding the Third Proportional to 291,784 and 417,246
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Solution
The third proportional to 291,784 and 417,246 is: 596,654.46
Step by Step Solution
- Step 1: Write the proportion equation
291,784 : 417,246 = 417,246 : x - Step 2: Convert to fraction form
291,784/417,246 = 417,246/x - Step 3: Cross multiply
291,784x = 417,246 × 417,246 - Step 4: Simplify right side
291,784x = 174,094,224,516 - Step 5: Solve for x
x = 174,094,224,516/291,784 - Step 6: Final answer
x = 596,654.46
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.