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Finding the Third Proportional to 470,018 and 706,071

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Solution

The third proportional to 470,018 and 706,071 is: 1,060,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,018 : 706,071 = 706,071 : x
  2. Step 2: Convert to fraction form
    470,018/706,071 = 706,071/x
  3. Step 3: Cross multiply
    470,018x = 706,071 × 706,071
  4. Step 4: Simplify right side
    470,018x = 498,536,257,041
  5. Step 5: Solve for x
    x = 498,536,257,041/470,018
  6. Step 6: Final answer
    x = 1,060,674.82

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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.