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Finding the Third Proportional to 262,689.75 and 416,026.50

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Solution

The third proportional to 262,689.75 and 416,026.50 is: 658,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,689.75 : 416,026.50 = 416,026.50 : x
  2. Step 2: Convert to fraction form
    262,689.75/416,026.50 = 416,026.50/x
  3. Step 3: Cross multiply
    262,689.75x = 416,026.50 × 416,026.50
  4. Step 4: Simplify right side
    262,689.75x = 173,078,048,702.25
  5. Step 5: Solve for x
    x = 173,078,048,702.25/262,689.75
  6. Step 6: Final answer
    x = 658,868.68

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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.