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Finding the Third Proportional to 654,266.50 and 1,332,590

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Solution

The third proportional to 654,266.50 and 1,332,590 is: 2,714,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,266.50 : 1,332,590 = 1,332,590 : x
  2. Step 2: Convert to fraction form
    654,266.50/1,332,590 = 1,332,590/x
  3. Step 3: Cross multiply
    654,266.50x = 1,332,590 × 1,332,590
  4. Step 4: Simplify right side
    654,266.50x = 1,775,796,108,100
  5. Step 5: Solve for x
    x = 1,775,796,108,100/654,266.50
  6. Step 6: Final answer
    x = 2,714,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.