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Finding the Third Proportional to 460,773 and 721,257

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Solution

The third proportional to 460,773 and 721,257 is: 1,128,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,773 : 721,257 = 721,257 : x
  2. Step 2: Convert to fraction form
    460,773/721,257 = 721,257/x
  3. Step 3: Cross multiply
    460,773x = 721,257 × 721,257
  4. Step 4: Simplify right side
    460,773x = 520,211,660,049
  5. Step 5: Solve for x
    x = 520,211,660,049/460,773
  6. Step 6: Final answer
    x = 1,128,997.71

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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.