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Finding the Third Proportional to 460,960 and 723,110

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Solution

The third proportional to 460,960 and 723,110 is: 1,134,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,960 : 723,110 = 723,110 : x
  2. Step 2: Convert to fraction form
    460,960/723,110 = 723,110/x
  3. Step 3: Cross multiply
    460,960x = 723,110 × 723,110
  4. Step 4: Simplify right side
    460,960x = 522,888,072,100
  5. Step 5: Solve for x
    x = 522,888,072,100/460,960
  6. Step 6: Final answer
    x = 1,134,345.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.