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Finding the Third Proportional to 350,926 and 524,051

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Solution

The third proportional to 350,926 and 524,051 is: 782,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,926 : 524,051 = 524,051 : x
  2. Step 2: Convert to fraction form
    350,926/524,051 = 524,051/x
  3. Step 3: Cross multiply
    350,926x = 524,051 × 524,051
  4. Step 4: Simplify right side
    350,926x = 274,629,450,601
  5. Step 5: Solve for x
    x = 274,629,450,601/350,926
  6. Step 6: Final answer
    x = 782,585.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.