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Finding the Third Proportional to 234,811 and 499,985

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Solution

The third proportional to 234,811 and 499,985 is: 1,064,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,811 : 499,985 = 499,985 : x
  2. Step 2: Convert to fraction form
    234,811/499,985 = 499,985/x
  3. Step 3: Cross multiply
    234,811x = 499,985 × 499,985
  4. Step 4: Simplify right side
    234,811x = 249,985,000,225
  5. Step 5: Solve for x
    x = 249,985,000,225/234,811
  6. Step 6: Final answer
    x = 1,064,622.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.