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Finding the Third Proportional to 246,037.50 and 538,029

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Solution

The third proportional to 246,037.50 and 538,029 is: 1,176,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,037.50 : 538,029 = 538,029 : x
  2. Step 2: Convert to fraction form
    246,037.50/538,029 = 538,029/x
  3. Step 3: Cross multiply
    246,037.50x = 538,029 × 538,029
  4. Step 4: Simplify right side
    246,037.50x = 289,475,204,841
  5. Step 5: Solve for x
    x = 289,475,204,841/246,037.50
  6. Step 6: Final answer
    x = 1,176,549.12

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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.