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Finding the Third Proportional to 262,440 and 388,124.16

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Solution

The third proportional to 262,440 and 388,124.16 is: 573,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,440 : 388,124.16 = 388,124.16 : x
  2. Step 2: Convert to fraction form
    262,440/388,124.16 = 388,124.16/x
  3. Step 3: Cross multiply
    262,440x = 388,124.16 × 388,124.16
  4. Step 4: Simplify right side
    262,440x = 150,640,360,664.77
  5. Step 5: Solve for x
    x = 150,640,360,664.77/262,440
  6. Step 6: Final answer
    x = 573,999.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.