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Finding the Third Proportional to 255,632 and 387,024

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Solution

The third proportional to 255,632 and 387,024 is: 585,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,632 : 387,024 = 387,024 : x
  2. Step 2: Convert to fraction form
    255,632/387,024 = 387,024/x
  3. Step 3: Cross multiply
    255,632x = 387,024 × 387,024
  4. Step 4: Simplify right side
    255,632x = 149,787,576,576
  5. Step 5: Solve for x
    x = 149,787,576,576/255,632
  6. Step 6: Final answer
    x = 585,950.02

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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.