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Finding the Third Proportional to 255,644 and 387,032

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Solution

The third proportional to 255,644 and 387,032 is: 585,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,644 : 387,032 = 387,032 : x
  2. Step 2: Convert to fraction form
    255,644/387,032 = 387,032/x
  3. Step 3: Cross multiply
    255,644x = 387,032 × 387,032
  4. Step 4: Simplify right side
    255,644x = 149,793,769,024
  5. Step 5: Solve for x
    x = 149,793,769,024/255,644
  6. Step 6: Final answer
    x = 585,946.74

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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.