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Finding the Third Proportional to 403,784 and 874,452

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Solution

The third proportional to 403,784 and 874,452 is: 1,893,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,784 : 874,452 = 874,452 : x
  2. Step 2: Convert to fraction form
    403,784/874,452 = 874,452/x
  3. Step 3: Cross multiply
    403,784x = 874,452 × 874,452
  4. Step 4: Simplify right side
    403,784x = 764,666,300,304
  5. Step 5: Solve for x
    x = 764,666,300,304/403,784
  6. Step 6: Final answer
    x = 1,893,750.87

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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.