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Finding the Third Proportional to 453,847.50 and 977,712.75

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Solution

The third proportional to 453,847.50 and 977,712.75 is: 2,106,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,847.50 : 977,712.75 = 977,712.75 : x
  2. Step 2: Convert to fraction form
    453,847.50/977,712.75 = 977,712.75/x
  3. Step 3: Cross multiply
    453,847.50x = 977,712.75 × 977,712.75
  4. Step 4: Simplify right side
    453,847.50x = 955,922,221,512.56
  5. Step 5: Solve for x
    x = 955,922,221,512.56/453,847.50
  6. Step 6: Final answer
    x = 2,106,263.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.