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Finding the Third Proportional to 287,550 and 616,734

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Solution

The third proportional to 287,550 and 616,734 is: 1,322,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,550 : 616,734 = 616,734 : x
  2. Step 2: Convert to fraction form
    287,550/616,734 = 616,734/x
  3. Step 3: Cross multiply
    287,550x = 616,734 × 616,734
  4. Step 4: Simplify right side
    287,550x = 380,360,826,756
  5. Step 5: Solve for x
    x = 380,360,826,756/287,550
  6. Step 6: Final answer
    x = 1,322,764.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.