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Finding the Third Proportional to 368,114.63 and 802,750.50

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Solution

The third proportional to 368,114.63 and 802,750.50 is: 1,750,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,114.63 : 802,750.50 = 802,750.50 : x
  2. Step 2: Convert to fraction form
    368,114.63/802,750.50 = 802,750.50/x
  3. Step 3: Cross multiply
    368,114.63x = 802,750.50 × 802,750.50
  4. Step 4: Simplify right side
    368,114.63x = 644,408,365,250.25
  5. Step 5: Solve for x
    x = 644,408,365,250.25/368,114.63
  6. Step 6: Final answer
    x = 1,750,564.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.