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Finding the Third Proportional to 468,064.83 and 702,108.42

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Solution

The third proportional to 468,064.83 and 702,108.42 is: 1,053,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,064.83 : 702,108.42 = 702,108.42 : x
  2. Step 2: Convert to fraction form
    468,064.83/702,108.42 = 702,108.42/x
  3. Step 3: Cross multiply
    468,064.83x = 702,108.42 × 702,108.42
  4. Step 4: Simplify right side
    468,064.83x = 492,956,236,067.80
  5. Step 5: Solve for x
    x = 492,956,236,067.80/468,064.83
  6. Step 6: Final answer
    x = 1,053,179.40

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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.