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Finding the Third Proportional to 470,369 and 706,611

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Solution

The third proportional to 470,369 and 706,611 is: 1,061,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,369 : 706,611 = 706,611 : x
  2. Step 2: Convert to fraction form
    470,369/706,611 = 706,611/x
  3. Step 3: Cross multiply
    470,369x = 706,611 × 706,611
  4. Step 4: Simplify right side
    470,369x = 499,299,105,321
  5. Step 5: Solve for x
    x = 499,299,105,321/470,369
  6. Step 6: Final answer
    x = 1,061,505.13

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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.