Finding the Third Proportional to 314,832 and 473,004
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Solution
The third proportional to 314,832 and 473,004 is: 710,641.82
Step by Step Solution
- Step 1: Write the proportion equation
314,832 : 473,004 = 473,004 : x - Step 2: Convert to fraction form
314,832/473,004 = 473,004/x - Step 3: Cross multiply
314,832x = 473,004 × 473,004 - Step 4: Simplify right side
314,832x = 223,732,784,016 - Step 5: Solve for x
x = 223,732,784,016/314,832 - Step 6: Final answer
x = 710,641.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.