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Finding the Third Proportional to 401,368 and 550,384

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Solution

The third proportional to 401,368 and 550,384 is: 754,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,368 : 550,384 = 550,384 : x
  2. Step 2: Convert to fraction form
    401,368/550,384 = 550,384/x
  3. Step 3: Cross multiply
    401,368x = 550,384 × 550,384
  4. Step 4: Simplify right side
    401,368x = 302,922,547,456
  5. Step 5: Solve for x
    x = 302,922,547,456/401,368
  6. Step 6: Final answer
    x = 754,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.