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Finding the Third Proportional to 210,311.53 and 458,686.69

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Solution

The third proportional to 210,311.53 and 458,686.69 is: 1,000,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311.53 : 458,686.69 = 458,686.69 : x
  2. Step 2: Convert to fraction form
    210,311.53/458,686.69 = 458,686.69/x
  3. Step 3: Cross multiply
    210,311.53x = 458,686.69 × 458,686.69
  4. Step 4: Simplify right side
    210,311.53x = 210,393,477,289.72
  5. Step 5: Solve for x
    x = 210,393,477,289.72/210,311.53
  6. Step 6: Final answer
    x = 1,000,389.64

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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.