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Finding the Third Proportional to 450,508.50 and 674,426.25

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Solution

The third proportional to 450,508.50 and 674,426.25 is: 1,009,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,508.50 : 674,426.25 = 674,426.25 : x
  2. Step 2: Convert to fraction form
    450,508.50/674,426.25 = 674,426.25/x
  3. Step 3: Cross multiply
    450,508.50x = 674,426.25 × 674,426.25
  4. Step 4: Simplify right side
    450,508.50x = 454,850,766,689.06
  5. Step 5: Solve for x
    x = 454,850,766,689.06/450,508.50
  6. Step 6: Final answer
    x = 1,009,638.59

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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.