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Finding the Third Proportional to 367,046 and 543,746

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Solution

The third proportional to 367,046 and 543,746 is: 805,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046 : 543,746 = 543,746 : x
  2. Step 2: Convert to fraction form
    367,046/543,746 = 543,746/x
  3. Step 3: Cross multiply
    367,046x = 543,746 × 543,746
  4. Step 4: Simplify right side
    367,046x = 295,659,712,516
  5. Step 5: Solve for x
    x = 295,659,712,516/367,046
  6. Step 6: Final answer
    x = 805,511.33

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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.