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Finding the Third Proportional to 423,538.50 and 825,798

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Solution

The third proportional to 423,538.50 and 825,798 is: 1,610,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,538.50 : 825,798 = 825,798 : x
  2. Step 2: Convert to fraction form
    423,538.50/825,798 = 825,798/x
  3. Step 3: Cross multiply
    423,538.50x = 825,798 × 825,798
  4. Step 4: Simplify right side
    423,538.50x = 681,942,336,804
  5. Step 5: Solve for x
    x = 681,942,336,804/423,538.50
  6. Step 6: Final answer
    x = 1,610,107.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.