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Finding the Third Proportional to 401,053 and 544,813

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Solution

The third proportional to 401,053 and 544,813 is: 740,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,053 : 544,813 = 544,813 : x
  2. Step 2: Convert to fraction form
    401,053/544,813 = 544,813/x
  3. Step 3: Cross multiply
    401,053x = 544,813 × 544,813
  4. Step 4: Simplify right side
    401,053x = 296,821,204,969
  5. Step 5: Solve for x
    x = 296,821,204,969/401,053
  6. Step 6: Final answer
    x = 740,104.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.