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Finding the Third Proportional to 470,060 and 706,130

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Solution

The third proportional to 470,060 and 706,130 is: 1,060,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,060 : 706,130 = 706,130 : x
  2. Step 2: Convert to fraction form
    470,060/706,130 = 706,130/x
  3. Step 3: Cross multiply
    470,060x = 706,130 × 706,130
  4. Step 4: Simplify right side
    470,060x = 498,619,576,900
  5. Step 5: Solve for x
    x = 498,619,576,900/470,060
  6. Step 6: Final answer
    x = 1,060,757.30

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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.