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Finding the Third Proportional to 246,033 and 538,020

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Solution

The third proportional to 246,033 and 538,020 is: 1,176,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,033 : 538,020 = 538,020 : x
  2. Step 2: Convert to fraction form
    246,033/538,020 = 538,020/x
  3. Step 3: Cross multiply
    246,033x = 538,020 × 538,020
  4. Step 4: Simplify right side
    246,033x = 289,465,520,400
  5. Step 5: Solve for x
    x = 289,465,520,400/246,033
  6. Step 6: Final answer
    x = 1,176,531.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.