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Finding the Third Proportional to 401,436 and 544,927.50

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Solution

The third proportional to 401,436 and 544,927.50 is: 739,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,436 : 544,927.50 = 544,927.50 : x
  2. Step 2: Convert to fraction form
    401,436/544,927.50 = 544,927.50/x
  3. Step 3: Cross multiply
    401,436x = 544,927.50 × 544,927.50
  4. Step 4: Simplify right side
    401,436x = 296,945,980,256.25
  5. Step 5: Solve for x
    x = 296,945,980,256.25/401,436
  6. Step 6: Final answer
    x = 739,709.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.