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Finding the Third Proportional to 261,024 and 501,304

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Solution

The third proportional to 261,024 and 501,304 is: 962,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,024 : 501,304 = 501,304 : x
  2. Step 2: Convert to fraction form
    261,024/501,304 = 501,304/x
  3. Step 3: Cross multiply
    261,024x = 501,304 × 501,304
  4. Step 4: Simplify right side
    261,024x = 251,305,700,416
  5. Step 5: Solve for x
    x = 251,305,700,416/261,024
  6. Step 6: Final answer
    x = 962,768.56

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.