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Finding the Third Proportional to 403,774 and 874,432

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Solution

The third proportional to 403,774 and 874,432 is: 1,893,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,774 : 874,432 = 874,432 : x
  2. Step 2: Convert to fraction form
    403,774/874,432 = 874,432/x
  3. Step 3: Cross multiply
    403,774x = 874,432 × 874,432
  4. Step 4: Simplify right side
    403,774x = 764,631,322,624
  5. Step 5: Solve for x
    x = 764,631,322,624/403,774
  6. Step 6: Final answer
    x = 1,893,711.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.