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Finding the Third Proportional to 261,804 and 565,380

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Solution

The third proportional to 261,804 and 565,380 is: 1,220,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804 : 565,380 = 565,380 : x
  2. Step 2: Convert to fraction form
    261,804/565,380 = 565,380/x
  3. Step 3: Cross multiply
    261,804x = 565,380 × 565,380
  4. Step 4: Simplify right side
    261,804x = 319,654,544,400
  5. Step 5: Solve for x
    x = 319,654,544,400/261,804
  6. Step 6: Final answer
    x = 1,220,968.91

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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.