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Finding the Third Proportional to 392,566.50 and 847,804.22

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Solution

The third proportional to 392,566.50 and 847,804.22 is: 1,830,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,566.50 : 847,804.22 = 847,804.22 : x
  2. Step 2: Convert to fraction form
    392,566.50/847,804.22 = 847,804.22/x
  3. Step 3: Cross multiply
    392,566.50x = 847,804.22 × 847,804.22
  4. Step 4: Simplify right side
    392,566.50x = 718,771,993,330.30
  5. Step 5: Solve for x
    x = 718,771,993,330.30/392,566.50
  6. Step 6: Final answer
    x = 1,830,956.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.