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Finding the Third Proportional to 400,980.38 and 544,730.06

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Solution

The third proportional to 400,980.38 and 544,730.06 is: 740,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,980.38 : 544,730.06 = 544,730.06 : x
  2. Step 2: Convert to fraction form
    400,980.38/544,730.06 = 544,730.06/x
  3. Step 3: Cross multiply
    400,980.38x = 544,730.06 × 544,730.06
  4. Step 4: Simplify right side
    400,980.38x = 296,730,840,991.25
  5. Step 5: Solve for x
    x = 296,730,840,991.25/400,980.38
  6. Step 6: Final answer
    x = 740,013.38

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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.