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Finding the Third Proportional to 354,638.25 and 487,923.75

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Solution

The third proportional to 354,638.25 and 487,923.75 is: 671,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638.25 : 487,923.75 = 487,923.75 : x
  2. Step 2: Convert to fraction form
    354,638.25/487,923.75 = 487,923.75/x
  3. Step 3: Cross multiply
    354,638.25x = 487,923.75 × 487,923.75
  4. Step 4: Simplify right side
    354,638.25x = 238,069,585,814.06
  5. Step 5: Solve for x
    x = 238,069,585,814.06/354,638.25
  6. Step 6: Final answer
    x = 671,302.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.