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Finding the Third Proportional to 643,714.50 and 973,856.75

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Solution

The third proportional to 643,714.50 and 973,856.75 is: 1,473,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714.50 : 973,856.75 = 973,856.75 : x
  2. Step 2: Convert to fraction form
    643,714.50/973,856.75 = 973,856.75/x
  3. Step 3: Cross multiply
    643,714.50x = 973,856.75 × 973,856.75
  4. Step 4: Simplify right side
    643,714.50x = 948,396,969,520.56
  5. Step 5: Solve for x
    x = 948,396,969,520.56/643,714.50
  6. Step 6: Final answer
    x = 1,473,319.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.