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Finding the Third Proportional to 367,023 and 543,712.50

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Solution

The third proportional to 367,023 and 543,712.50 is: 805,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,023 : 543,712.50 = 543,712.50 : x
  2. Step 2: Convert to fraction form
    367,023/543,712.50 = 543,712.50/x
  3. Step 3: Cross multiply
    367,023x = 543,712.50 × 543,712.50
  4. Step 4: Simplify right side
    367,023x = 295,623,282,656.25
  5. Step 5: Solve for x
    x = 295,623,282,656.25/367,023
  6. Step 6: Final answer
    x = 805,462.55

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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.