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Finding the Third Proportional to 261,995.34 and 395,483.34

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Solution

The third proportional to 261,995.34 and 395,483.34 is: 596,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,995.34 : 395,483.34 = 395,483.34 : x
  2. Step 2: Convert to fraction form
    261,995.34/395,483.34 = 395,483.34/x
  3. Step 3: Cross multiply
    261,995.34x = 395,483.34 × 395,483.34
  4. Step 4: Simplify right side
    261,995.34x = 156,407,075,183.68
  5. Step 5: Solve for x
    x = 156,407,075,183.68/261,995.34
  6. Step 6: Final answer
    x = 596,984.18

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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.