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Finding the Third Proportional to 301,712.25 and 447,345.75

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Solution

The third proportional to 301,712.25 and 447,345.75 is: 663,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,712.25 : 447,345.75 = 447,345.75 : x
  2. Step 2: Convert to fraction form
    301,712.25/447,345.75 = 447,345.75/x
  3. Step 3: Cross multiply
    301,712.25x = 447,345.75 × 447,345.75
  4. Step 4: Simplify right side
    301,712.25x = 200,118,220,043.06
  5. Step 5: Solve for x
    x = 200,118,220,043.06/301,712.25
  6. Step 6: Final answer
    x = 663,275.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.