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Finding the Third Proportional to 233,391 and 499,992

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Solution

The third proportional to 233,391 and 499,992 is: 1,071,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,391 : 499,992 = 499,992 : x
  2. Step 2: Convert to fraction form
    233,391/499,992 = 499,992/x
  3. Step 3: Cross multiply
    233,391x = 499,992 × 499,992
  4. Step 4: Simplify right side
    233,391x = 249,992,000,064
  5. Step 5: Solve for x
    x = 249,992,000,064/233,391
  6. Step 6: Final answer
    x = 1,071,129.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.