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Finding the Third Proportional to 362,912 and 544,731

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Solution

The third proportional to 362,912 and 544,731 is: 817,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,912 : 544,731 = 544,731 : x
  2. Step 2: Convert to fraction form
    362,912/544,731 = 544,731/x
  3. Step 3: Cross multiply
    362,912x = 544,731 × 544,731
  4. Step 4: Simplify right side
    362,912x = 296,731,862,361
  5. Step 5: Solve for x
    x = 296,731,862,361/362,912
  6. Step 6: Final answer
    x = 817,641.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.