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Finding the Third Proportional to 262,688.25 and 416,024.25

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Solution

The third proportional to 262,688.25 and 416,024.25 is: 658,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,688.25 : 416,024.25 = 416,024.25 : x
  2. Step 2: Convert to fraction form
    262,688.25/416,024.25 = 416,024.25/x
  3. Step 3: Cross multiply
    262,688.25x = 416,024.25 × 416,024.25
  4. Step 4: Simplify right side
    262,688.25x = 173,076,176,588.06
  5. Step 5: Solve for x
    x = 173,076,176,588.06/262,688.25
  6. Step 6: Final answer
    x = 658,865.32

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Why These Related Problems?

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