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Finding the Third Proportional to 470,042 and 706,107

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Solution

The third proportional to 470,042 and 706,107 is: 1,060,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,042 : 706,107 = 706,107 : x
  2. Step 2: Convert to fraction form
    470,042/706,107 = 706,107/x
  3. Step 3: Cross multiply
    470,042x = 706,107 × 706,107
  4. Step 4: Simplify right side
    470,042x = 498,587,095,449
  5. Step 5: Solve for x
    x = 498,587,095,449/470,042
  6. Step 6: Final answer
    x = 1,060,728.82

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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.