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Finding the Third Proportional to 451,656 and 675,985.50

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Solution

The third proportional to 451,656 and 675,985.50 is: 1,011,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,656 : 675,985.50 = 675,985.50 : x
  2. Step 2: Convert to fraction form
    451,656/675,985.50 = 675,985.50/x
  3. Step 3: Cross multiply
    451,656x = 675,985.50 × 675,985.50
  4. Step 4: Simplify right side
    451,656x = 456,956,396,210.25
  5. Step 5: Solve for x
    x = 456,956,396,210.25/451,656
  6. Step 6: Final answer
    x = 1,011,735.47

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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.