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Finding the Third Proportional to 506,358.84 and 1,099,650.94

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Solution

The third proportional to 506,358.84 and 1,099,650.94 is: 2,388,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,358.84 : 1,099,650.94 = 1,099,650.94 : x
  2. Step 2: Convert to fraction form
    506,358.84/1,099,650.94 = 1,099,650.94/x
  3. Step 3: Cross multiply
    506,358.84x = 1,099,650.94 × 1,099,650.94
  4. Step 4: Simplify right side
    506,358.84x = 1,209,232,184,344.63
  5. Step 5: Solve for x
    x = 1,209,232,184,344.63/506,358.84
  6. Step 6: Final answer
    x = 2,388,093.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.