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Finding the Third Proportional to 440,113.50 and 934,200.84

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Solution

The third proportional to 440,113.50 and 934,200.84 is: 1,982,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,113.50 : 934,200.84 = 934,200.84 : x
  2. Step 2: Convert to fraction form
    440,113.50/934,200.84 = 934,200.84/x
  3. Step 3: Cross multiply
    440,113.50x = 934,200.84 × 934,200.84
  4. Step 4: Simplify right side
    440,113.50x = 872,731,216,463.21
  5. Step 5: Solve for x
    x = 872,731,216,463.21/440,113.50
  6. Step 6: Final answer
    x = 1,982,968.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.