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Finding the Third Proportional to 233,307 and 499,770

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Solution

The third proportional to 233,307 and 499,770 is: 1,070,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307 : 499,770 = 499,770 : x
  2. Step 2: Convert to fraction form
    233,307/499,770 = 499,770/x
  3. Step 3: Cross multiply
    233,307x = 499,770 × 499,770
  4. Step 4: Simplify right side
    233,307x = 249,770,052,900
  5. Step 5: Solve for x
    x = 249,770,052,900/233,307
  6. Step 6: Final answer
    x = 1,070,563.90

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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.