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Finding the Third Proportional to 395,557 and 585,937

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Solution

The third proportional to 395,557 and 585,937 is: 867,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,557 : 585,937 = 585,937 : x
  2. Step 2: Convert to fraction form
    395,557/585,937 = 585,937/x
  3. Step 3: Cross multiply
    395,557x = 585,937 × 585,937
  4. Step 4: Simplify right side
    395,557x = 343,322,167,969
  5. Step 5: Solve for x
    x = 343,322,167,969/395,557
  6. Step 6: Final answer
    x = 867,946.13

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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.