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Finding the Third Proportional to 429,226.31 and 683,246.25

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Solution

The third proportional to 429,226.31 and 683,246.25 is: 1,087,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,226.31 : 683,246.25 = 683,246.25 : x
  2. Step 2: Convert to fraction form
    429,226.31/683,246.25 = 683,246.25/x
  3. Step 3: Cross multiply
    429,226.31x = 683,246.25 × 683,246.25
  4. Step 4: Simplify right side
    429,226.31x = 466,825,438,139.06
  5. Step 5: Solve for x
    x = 466,825,438,139.06/429,226.31
  6. Step 6: Final answer
    x = 1,087,597.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.