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Finding the Third Proportional to 261,312.75 and 395,577

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Solution

The third proportional to 261,312.75 and 395,577 is: 598,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,312.75 : 395,577 = 395,577 : x
  2. Step 2: Convert to fraction form
    261,312.75/395,577 = 395,577/x
  3. Step 3: Cross multiply
    261,312.75x = 395,577 × 395,577
  4. Step 4: Simplify right side
    261,312.75x = 156,481,162,929
  5. Step 5: Solve for x
    x = 156,481,162,929/261,312.75
  6. Step 6: Final answer
    x = 598,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.