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Finding the Third Proportional to 233,000 and 499,983

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Solution

The third proportional to 233,000 and 499,983 is: 1,072,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,000 : 499,983 = 499,983 : x
  2. Step 2: Convert to fraction form
    233,000/499,983 = 499,983/x
  3. Step 3: Cross multiply
    233,000x = 499,983 × 499,983
  4. Step 4: Simplify right side
    233,000x = 249,983,000,289
  5. Step 5: Solve for x
    x = 249,983,000,289/233,000
  6. Step 6: Final answer
    x = 1,072,888.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.