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Finding the Third Proportional to 233,000 and 499,984

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Solution

The third proportional to 233,000 and 499,984 is: 1,072,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,000 : 499,984 = 499,984 : x
  2. Step 2: Convert to fraction form
    233,000/499,984 = 499,984/x
  3. Step 3: Cross multiply
    233,000x = 499,984 × 499,984
  4. Step 4: Simplify right side
    233,000x = 249,984,000,256
  5. Step 5: Solve for x
    x = 249,984,000,256/233,000
  6. Step 6: Final answer
    x = 1,072,892.70

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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.