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Finding the Third Proportional to 460,233 and 706,419

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Solution

The third proportional to 460,233 and 706,419 is: 1,084,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,233 : 706,419 = 706,419 : x
  2. Step 2: Convert to fraction form
    460,233/706,419 = 706,419/x
  3. Step 3: Cross multiply
    460,233x = 706,419 × 706,419
  4. Step 4: Simplify right side
    460,233x = 499,027,803,561
  5. Step 5: Solve for x
    x = 499,027,803,561/460,233
  6. Step 6: Final answer
    x = 1,084,293.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.