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Finding the Third Proportional to 405,049.50 and 886,347

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Solution

The third proportional to 405,049.50 and 886,347 is: 1,939,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,049.50 : 886,347 = 886,347 : x
  2. Step 2: Convert to fraction form
    405,049.50/886,347 = 886,347/x
  3. Step 3: Cross multiply
    405,049.50x = 886,347 × 886,347
  4. Step 4: Simplify right side
    405,049.50x = 785,611,004,409
  5. Step 5: Solve for x
    x = 785,611,004,409/405,049.50
  6. Step 6: Final answer
    x = 1,939,543.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.