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Finding the Third Proportional to 255,564 and 386,928

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Solution

The third proportional to 255,564 and 386,928 is: 585,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564 : 386,928 = 386,928 : x
  2. Step 2: Convert to fraction form
    255,564/386,928 = 386,928/x
  3. Step 3: Cross multiply
    255,564x = 386,928 × 386,928
  4. Step 4: Simplify right side
    255,564x = 149,713,277,184
  5. Step 5: Solve for x
    x = 149,713,277,184/255,564
  6. Step 6: Final answer
    x = 585,815.21

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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.