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Finding the Third Proportional to 246,045 and 538,043

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Solution

The third proportional to 246,045 and 538,043 is: 1,176,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,045 : 538,043 = 538,043 : x
  2. Step 2: Convert to fraction form
    246,045/538,043 = 538,043/x
  3. Step 3: Cross multiply
    246,045x = 538,043 × 538,043
  4. Step 4: Simplify right side
    246,045x = 289,490,269,849
  5. Step 5: Solve for x
    x = 289,490,269,849/246,045
  6. Step 6: Final answer
    x = 1,176,574.49

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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.