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Finding the Third Proportional to 560,457 and 892,230

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Solution

The third proportional to 560,457 and 892,230 is: 1,420,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,457 : 892,230 = 892,230 : x
  2. Step 2: Convert to fraction form
    560,457/892,230 = 892,230/x
  3. Step 3: Cross multiply
    560,457x = 892,230 × 892,230
  4. Step 4: Simplify right side
    560,457x = 796,074,372,900
  5. Step 5: Solve for x
    x = 796,074,372,900/560,457
  6. Step 6: Final answer
    x = 1,420,402.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.