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Finding the Third Proportional to 253,735 and 601,106

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Solution

The third proportional to 253,735 and 601,106 is: 1,424,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,735 : 601,106 = 601,106 : x
  2. Step 2: Convert to fraction form
    253,735/601,106 = 601,106/x
  3. Step 3: Cross multiply
    253,735x = 601,106 × 601,106
  4. Step 4: Simplify right side
    253,735x = 361,328,423,236
  5. Step 5: Solve for x
    x = 361,328,423,236/253,735
  6. Step 6: Final answer
    x = 1,424,038.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.