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Finding the Third Proportional to 470,020 and 706,074

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Solution

The third proportional to 470,020 and 706,074 is: 1,060,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,020 : 706,074 = 706,074 : x
  2. Step 2: Convert to fraction form
    470,020/706,074 = 706,074/x
  3. Step 3: Cross multiply
    470,020x = 706,074 × 706,074
  4. Step 4: Simplify right side
    470,020x = 498,540,493,476
  5. Step 5: Solve for x
    x = 498,540,493,476/470,020
  6. Step 6: Final answer
    x = 1,060,679.32

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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.