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Finding the Third Proportional to 460,069 and 706,172

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Solution

The third proportional to 460,069 and 706,172 is: 1,083,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,069 : 706,172 = 706,172 : x
  2. Step 2: Convert to fraction form
    460,069/706,172 = 706,172/x
  3. Step 3: Cross multiply
    460,069x = 706,172 × 706,172
  4. Step 4: Simplify right side
    460,069x = 498,678,893,584
  5. Step 5: Solve for x
    x = 498,678,893,584/460,069
  6. Step 6: Final answer
    x = 1,083,921.96

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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.