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Finding the Third Proportional to 470,032 and 706,092

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Solution

The third proportional to 470,032 and 706,092 is: 1,060,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,032 : 706,092 = 706,092 : x
  2. Step 2: Convert to fraction form
    470,032/706,092 = 706,092/x
  3. Step 3: Cross multiply
    470,032x = 706,092 × 706,092
  4. Step 4: Simplify right side
    470,032x = 498,565,912,464
  5. Step 5: Solve for x
    x = 498,565,912,464/470,032
  6. Step 6: Final answer
    x = 1,060,706.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.