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Finding the Third Proportional to 470,381 and 706,629

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Solution

The third proportional to 470,381 and 706,629 is: 1,061,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,381 : 706,629 = 706,629 : x
  2. Step 2: Convert to fraction form
    470,381/706,629 = 706,629/x
  3. Step 3: Cross multiply
    470,381x = 706,629 × 706,629
  4. Step 4: Simplify right side
    470,381x = 499,324,543,641
  5. Step 5: Solve for x
    x = 499,324,543,641/470,381
  6. Step 6: Final answer
    x = 1,061,532.13

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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.