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Finding the Third Proportional to 469,568 and 704,416

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Solution

The third proportional to 469,568 and 704,416 is: 1,056,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,568 : 704,416 = 704,416 : x
  2. Step 2: Convert to fraction form
    469,568/704,416 = 704,416/x
  3. Step 3: Cross multiply
    469,568x = 704,416 × 704,416
  4. Step 4: Simplify right side
    469,568x = 496,201,901,056
  5. Step 5: Solve for x
    x = 496,201,901,056/469,568
  6. Step 6: Final answer
    x = 1,056,720.01

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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.