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Finding the Third Proportional to 649,800.56 and 974,701.69

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Solution

The third proportional to 649,800.56 and 974,701.69 is: 1,462,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,800.56 : 974,701.69 = 974,701.69 : x
  2. Step 2: Convert to fraction form
    649,800.56/974,701.69 = 974,701.69/x
  3. Step 3: Cross multiply
    649,800.56x = 974,701.69 × 974,701.69
  4. Step 4: Simplify right side
    649,800.56x = 950,043,379,615.35
  5. Step 5: Solve for x
    x = 950,043,379,615.35/649,800.56
  6. Step 6: Final answer
    x = 1,462,053.80

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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.