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Finding the Third Proportional to 405,141.75 and 640,730.25

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Solution

The third proportional to 405,141.75 and 640,730.25 is: 1,013,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.75 : 640,730.25 = 640,730.25 : x
  2. Step 2: Convert to fraction form
    405,141.75/640,730.25 = 640,730.25/x
  3. Step 3: Cross multiply
    405,141.75x = 640,730.25 × 640,730.25
  4. Step 4: Simplify right side
    405,141.75x = 410,535,253,265.06
  5. Step 5: Solve for x
    x = 410,535,253,265.06/405,141.75
  6. Step 6: Final answer
    x = 1,013,312.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.