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Finding the Third Proportional to 460,766 and 721,247

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Solution

The third proportional to 460,766 and 721,247 is: 1,128,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,766 : 721,247 = 721,247 : x
  2. Step 2: Convert to fraction form
    460,766/721,247 = 721,247/x
  3. Step 3: Cross multiply
    460,766x = 721,247 × 721,247
  4. Step 4: Simplify right side
    460,766x = 520,197,235,009
  5. Step 5: Solve for x
    x = 520,197,235,009/460,766
  6. Step 6: Final answer
    x = 1,128,983.55

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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.