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Finding the Third Proportional to 594,127.50 and 1,282,950

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Solution

The third proportional to 594,127.50 and 1,282,950 is: 2,770,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,127.50 : 1,282,950 = 1,282,950 : x
  2. Step 2: Convert to fraction form
    594,127.50/1,282,950 = 1,282,950/x
  3. Step 3: Cross multiply
    594,127.50x = 1,282,950 × 1,282,950
  4. Step 4: Simplify right side
    594,127.50x = 1,645,960,702,500
  5. Step 5: Solve for x
    x = 1,645,960,702,500/594,127.50
  6. Step 6: Final answer
    x = 2,770,382.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.