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Finding the Third Proportional to 261,640.75 and 565,104.25

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Solution

The third proportional to 261,640.75 and 565,104.25 is: 1,220,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.75 : 565,104.25 = 565,104.25 : x
  2. Step 2: Convert to fraction form
    261,640.75/565,104.25 = 565,104.25/x
  3. Step 3: Cross multiply
    261,640.75x = 565,104.25 × 565,104.25
  4. Step 4: Simplify right side
    261,640.75x = 319,342,813,368.06
  5. Step 5: Solve for x
    x = 319,342,813,368.06/261,640.75
  6. Step 6: Final answer
    x = 1,220,539.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.