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Finding the Third Proportional to 401,013 and 544,793.06

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Solution

The third proportional to 401,013 and 544,793.06 is: 740,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,013 : 544,793.06 = 544,793.06 : x
  2. Step 2: Convert to fraction form
    401,013/544,793.06 = 544,793.06/x
  3. Step 3: Cross multiply
    401,013x = 544,793.06 × 544,793.06
  4. Step 4: Simplify right side
    401,013x = 296,799,480,948.13
  5. Step 5: Solve for x
    x = 296,799,480,948.13/401,013
  6. Step 6: Final answer
    x = 740,124.34

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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.