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Finding the Third Proportional to 233,266.50 and 499,698

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Solution

The third proportional to 233,266.50 and 499,698 is: 1,070,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.50 : 499,698 = 499,698 : x
  2. Step 2: Convert to fraction form
    233,266.50/499,698 = 499,698/x
  3. Step 3: Cross multiply
    233,266.50x = 499,698 × 499,698
  4. Step 4: Simplify right side
    233,266.50x = 249,698,091,204
  5. Step 5: Solve for x
    x = 249,698,091,204/233,266.50
  6. Step 6: Final answer
    x = 1,070,441.28

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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.