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Finding the Third Proportional to 469,504 and 702,456

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Solution

The third proportional to 469,504 and 702,456 is: 1,050,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,504 : 702,456 = 702,456 : x
  2. Step 2: Convert to fraction form
    469,504/702,456 = 702,456/x
  3. Step 3: Cross multiply
    469,504x = 702,456 × 702,456
  4. Step 4: Simplify right side
    469,504x = 493,444,431,936
  5. Step 5: Solve for x
    x = 493,444,431,936/469,504
  6. Step 6: Final answer
    x = 1,050,990.90

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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.