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Finding the Third Proportional to 244,005 and 503,076

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Solution

The third proportional to 244,005 and 503,076 is: 1,037,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,005 : 503,076 = 503,076 : x
  2. Step 2: Convert to fraction form
    244,005/503,076 = 503,076/x
  3. Step 3: Cross multiply
    244,005x = 503,076 × 503,076
  4. Step 4: Simplify right side
    244,005x = 253,085,461,776
  5. Step 5: Solve for x
    x = 253,085,461,776/244,005
  6. Step 6: Final answer
    x = 1,037,214.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.