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Finding the Third Proportional to 233,002 and 499,988

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Solution

The third proportional to 233,002 and 499,988 is: 1,072,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,002 : 499,988 = 499,988 : x
  2. Step 2: Convert to fraction form
    233,002/499,988 = 499,988/x
  3. Step 3: Cross multiply
    233,002x = 499,988 × 499,988
  4. Step 4: Simplify right side
    233,002x = 249,988,000,144
  5. Step 5: Solve for x
    x = 249,988,000,144/233,002
  6. Step 6: Final answer
    x = 1,072,900.66

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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.