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Finding the Third Proportional to 470,016 and 706,068

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Solution

The third proportional to 470,016 and 706,068 is: 1,060,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,016 : 706,068 = 706,068 : x
  2. Step 2: Convert to fraction form
    470,016/706,068 = 706,068/x
  3. Step 3: Cross multiply
    470,016x = 706,068 × 706,068
  4. Step 4: Simplify right side
    470,016x = 498,532,020,624
  5. Step 5: Solve for x
    x = 498,532,020,624/470,016
  6. Step 6: Final answer
    x = 1,060,670.32

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Why These Related Problems?

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