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Finding the Third Proportional to 402,447 and 544,621.50

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Solution

The third proportional to 402,447 and 544,621.50 is: 737,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,447 : 544,621.50 = 544,621.50 : x
  2. Step 2: Convert to fraction form
    402,447/544,621.50 = 544,621.50/x
  3. Step 3: Cross multiply
    402,447x = 544,621.50 × 544,621.50
  4. Step 4: Simplify right side
    402,447x = 296,612,578,262.25
  5. Step 5: Solve for x
    x = 296,612,578,262.25/402,447
  6. Step 6: Final answer
    x = 737,022.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.