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Finding the Third Proportional to 324,940 and 712,650

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Solution

The third proportional to 324,940 and 712,650 is: 1,562,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,940 : 712,650 = 712,650 : x
  2. Step 2: Convert to fraction form
    324,940/712,650 = 712,650/x
  3. Step 3: Cross multiply
    324,940x = 712,650 × 712,650
  4. Step 4: Simplify right side
    324,940x = 507,870,022,500
  5. Step 5: Solve for x
    x = 507,870,022,500/324,940
  6. Step 6: Final answer
    x = 1,562,965.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.