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Finding the Third Proportional to 395,560 and 585,943

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Solution

The third proportional to 395,560 and 585,943 is: 867,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,560 : 585,943 = 585,943 : x
  2. Step 2: Convert to fraction form
    395,560/585,943 = 585,943/x
  3. Step 3: Cross multiply
    395,560x = 585,943 × 585,943
  4. Step 4: Simplify right side
    395,560x = 343,329,199,249
  5. Step 5: Solve for x
    x = 343,329,199,249/395,560
  6. Step 6: Final answer
    x = 867,957.32

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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.