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Finding the Third Proportional to 649,725 and 999,958.50

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Solution

The third proportional to 649,725 and 999,958.50 is: 1,538,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,725 : 999,958.50 = 999,958.50 : x
  2. Step 2: Convert to fraction form
    649,725/999,958.50 = 999,958.50/x
  3. Step 3: Cross multiply
    649,725x = 999,958.50 × 999,958.50
  4. Step 4: Simplify right side
    649,725x = 999,917,001,722.25
  5. Step 5: Solve for x
    x = 999,917,001,722.25/649,725
  6. Step 6: Final answer
    x = 1,538,984.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.