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Finding the Third Proportional to 470,458 and 706,749

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Solution

The third proportional to 470,458 and 706,749 is: 1,061,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,458 : 706,749 = 706,749 : x
  2. Step 2: Convert to fraction form
    470,458/706,749 = 706,749/x
  3. Step 3: Cross multiply
    470,458x = 706,749 × 706,749
  4. Step 4: Simplify right side
    470,458x = 499,494,149,001
  5. Step 5: Solve for x
    x = 499,494,149,001/470,458
  6. Step 6: Final answer
    x = 1,061,718.90

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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.