Finding the Third Proportional to 330,984 and 714,462
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Solution
The third proportional to 330,984 and 714,462 is: 1,542,237.54
Step by Step Solution
- Step 1: Write the proportion equation
330,984 : 714,462 = 714,462 : x - Step 2: Convert to fraction form
330,984/714,462 = 714,462/x - Step 3: Cross multiply
330,984x = 714,462 × 714,462 - Step 4: Simplify right side
330,984x = 510,455,949,444 - Step 5: Solve for x
x = 510,455,949,444/330,984 - Step 6: Final answer
x = 1,542,237.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.