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Finding the Third Proportional to 280,023 and 444,945.75

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Solution

The third proportional to 280,023 and 444,945.75 is: 707,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,023 : 444,945.75 = 444,945.75 : x
  2. Step 2: Convert to fraction form
    280,023/444,945.75 = 444,945.75/x
  3. Step 3: Cross multiply
    280,023x = 444,945.75 × 444,945.75
  4. Step 4: Simplify right side
    280,023x = 197,976,720,443.06
  5. Step 5: Solve for x
    x = 197,976,720,443.06/280,023
  6. Step 6: Final answer
    x = 707,001.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.