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Finding the Third Proportional to 395,409 and 612,776.25

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Solution

The third proportional to 395,409 and 612,776.25 is: 949,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409 : 612,776.25 = 612,776.25 : x
  2. Step 2: Convert to fraction form
    395,409/612,776.25 = 612,776.25/x
  3. Step 3: Cross multiply
    395,409x = 612,776.25 × 612,776.25
  4. Step 4: Simplify right side
    395,409x = 375,494,732,564.06
  5. Step 5: Solve for x
    x = 375,494,732,564.06/395,409
  6. Step 6: Final answer
    x = 949,636.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.