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Finding the Third Proportional to 401,732 and 873,368

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Solution

The third proportional to 401,732 and 873,368 is: 1,898,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,732 : 873,368 = 873,368 : x
  2. Step 2: Convert to fraction form
    401,732/873,368 = 873,368/x
  3. Step 3: Cross multiply
    401,732x = 873,368 × 873,368
  4. Step 4: Simplify right side
    401,732x = 762,771,663,424
  5. Step 5: Solve for x
    x = 762,771,663,424/401,732
  6. Step 6: Final answer
    x = 1,898,707.75

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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.