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Finding the Third Proportional to 261,935 and 387,987

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Solution

The third proportional to 261,935 and 387,987 is: 574,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,935 : 387,987 = 387,987 : x
  2. Step 2: Convert to fraction form
    261,935/387,987 = 387,987/x
  3. Step 3: Cross multiply
    261,935x = 387,987 × 387,987
  4. Step 4: Simplify right side
    261,935x = 150,533,912,169
  5. Step 5: Solve for x
    x = 150,533,912,169/261,935
  6. Step 6: Final answer
    x = 574,699.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.