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Finding the Third Proportional to 470,407.50 and 706,671

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Solution

The third proportional to 470,407.50 and 706,671 is: 1,061,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,407.50 : 706,671 = 706,671 : x
  2. Step 2: Convert to fraction form
    470,407.50/706,671 = 706,671/x
  3. Step 3: Cross multiply
    470,407.50x = 706,671 × 706,671
  4. Step 4: Simplify right side
    470,407.50x = 499,383,902,241
  5. Step 5: Solve for x
    x = 499,383,902,241/470,407.50
  6. Step 6: Final answer
    x = 1,061,598.51

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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.