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Finding the Third Proportional to 344,367.50 and 804,154.50

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Solution

The third proportional to 344,367.50 and 804,154.50 is: 1,877,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,367.50 : 804,154.50 = 804,154.50 : x
  2. Step 2: Convert to fraction form
    344,367.50/804,154.50 = 804,154.50/x
  3. Step 3: Cross multiply
    344,367.50x = 804,154.50 × 804,154.50
  4. Step 4: Simplify right side
    344,367.50x = 646,664,459,870.25
  5. Step 5: Solve for x
    x = 646,664,459,870.25/344,367.50
  6. Step 6: Final answer
    x = 1,877,832.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.