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Finding the Third Proportional to 374,749.03 and 824,230.69

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Solution

The third proportional to 374,749.03 and 824,230.69 is: 1,812,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,749.03 : 824,230.69 = 824,230.69 : x
  2. Step 2: Convert to fraction form
    374,749.03/824,230.69 = 824,230.69/x
  3. Step 3: Cross multiply
    374,749.03x = 824,230.69 × 824,230.69
  4. Step 4: Simplify right side
    374,749.03x = 679,356,226,216.72
  5. Step 5: Solve for x
    x = 679,356,226,216.72/374,749.03
  6. Step 6: Final answer
    x = 1,812,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.