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Finding the Third Proportional to 294,433 and 431,497

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Solution

The third proportional to 294,433 and 431,497 is: 632,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,433 : 431,497 = 431,497 : x
  2. Step 2: Convert to fraction form
    294,433/431,497 = 431,497/x
  3. Step 3: Cross multiply
    294,433x = 431,497 × 431,497
  4. Step 4: Simplify right side
    294,433x = 186,189,661,009
  5. Step 5: Solve for x
    x = 186,189,661,009/294,433
  6. Step 6: Final answer
    x = 632,366.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.