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Finding the Third Proportional to 244,128 and 540,501

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Solution

The third proportional to 244,128 and 540,501 is: 1,196,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,128 : 540,501 = 540,501 : x
  2. Step 2: Convert to fraction form
    244,128/540,501 = 540,501/x
  3. Step 3: Cross multiply
    244,128x = 540,501 × 540,501
  4. Step 4: Simplify right side
    244,128x = 292,141,331,001
  5. Step 5: Solve for x
    x = 292,141,331,001/244,128
  6. Step 6: Final answer
    x = 1,196,672.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.