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Finding the Third Proportional to 273,501.75 and 413,897.75

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Solution

The third proportional to 273,501.75 and 413,897.75 is: 626,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,501.75 : 413,897.75 = 413,897.75 : x
  2. Step 2: Convert to fraction form
    273,501.75/413,897.75 = 413,897.75/x
  3. Step 3: Cross multiply
    273,501.75x = 413,897.75 × 413,897.75
  4. Step 4: Simplify right side
    273,501.75x = 171,311,347,455.06
  5. Step 5: Solve for x
    x = 171,311,347,455.06/273,501.75
  6. Step 6: Final answer
    x = 626,362.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.