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Finding the Third Proportional to 501,733.50 and 1,072,155

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Solution

The third proportional to 501,733.50 and 1,072,155 is: 2,291,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,733.50 : 1,072,155 = 1,072,155 : x
  2. Step 2: Convert to fraction form
    501,733.50/1,072,155 = 1,072,155/x
  3. Step 3: Cross multiply
    501,733.50x = 1,072,155 × 1,072,155
  4. Step 4: Simplify right side
    501,733.50x = 1,149,516,344,025
  5. Step 5: Solve for x
    x = 1,149,516,344,025/501,733.50
  6. Step 6: Final answer
    x = 2,291,089.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.