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Finding the Third Proportional to 392,566.50 and 832,290.19

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Solution

The third proportional to 392,566.50 and 832,290.19 is: 1,764,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,566.50 : 832,290.19 = 832,290.19 : x
  2. Step 2: Convert to fraction form
    392,566.50/832,290.19 = 832,290.19/x
  3. Step 3: Cross multiply
    392,566.50x = 832,290.19 × 832,290.19
  4. Step 4: Simplify right side
    392,566.50x = 692,706,956,208.79
  5. Step 5: Solve for x
    x = 692,706,956,208.79/392,566.50
  6. Step 6: Final answer
    x = 1,764,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.