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Finding the Third Proportional to 470,069 and 706,143

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Solution

The third proportional to 470,069 and 706,143 is: 1,060,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,069 : 706,143 = 706,143 : x
  2. Step 2: Convert to fraction form
    470,069/706,143 = 706,143/x
  3. Step 3: Cross multiply
    470,069x = 706,143 × 706,143
  4. Step 4: Simplify right side
    470,069x = 498,637,936,449
  5. Step 5: Solve for x
    x = 498,637,936,449/470,069
  6. Step 6: Final answer
    x = 1,060,776.05

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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.