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Finding the Third Proportional to 453,832.50 and 977,685.50

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Solution

The third proportional to 453,832.50 and 977,685.50 is: 2,106,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,832.50 : 977,685.50 = 977,685.50 : x
  2. Step 2: Convert to fraction form
    453,832.50/977,685.50 = 977,685.50/x
  3. Step 3: Cross multiply
    453,832.50x = 977,685.50 × 977,685.50
  4. Step 4: Simplify right side
    453,832.50x = 955,868,936,910.25
  5. Step 5: Solve for x
    x = 955,868,936,910.25/453,832.50
  6. Step 6: Final answer
    x = 2,106,215.26

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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.