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Finding the Third Proportional to 639,346.50 and 954,643.50

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Solution

The third proportional to 639,346.50 and 954,643.50 is: 1,425,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,346.50 : 954,643.50 = 954,643.50 : x
  2. Step 2: Convert to fraction form
    639,346.50/954,643.50 = 954,643.50/x
  3. Step 3: Cross multiply
    639,346.50x = 954,643.50 × 954,643.50
  4. Step 4: Simplify right side
    639,346.50x = 911,344,212,092.25
  5. Step 5: Solve for x
    x = 911,344,212,092.25/639,346.50
  6. Step 6: Final answer
    x = 1,425,430.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.