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Finding the Third Proportional to 368,750 and 522,237

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Solution

The third proportional to 368,750 and 522,237 is: 739,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,750 : 522,237 = 522,237 : x
  2. Step 2: Convert to fraction form
    368,750/522,237 = 522,237/x
  3. Step 3: Cross multiply
    368,750x = 522,237 × 522,237
  4. Step 4: Simplify right side
    368,750x = 272,731,484,169
  5. Step 5: Solve for x
    x = 272,731,484,169/368,750
  6. Step 6: Final answer
    x = 739,610.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.