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Finding the Third Proportional to 320,623.31 and 507,672.56

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Solution

The third proportional to 320,623.31 and 507,672.56 is: 803,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,623.31 : 507,672.56 = 507,672.56 : x
  2. Step 2: Convert to fraction form
    320,623.31/507,672.56 = 507,672.56/x
  3. Step 3: Cross multiply
    320,623.31x = 507,672.56 × 507,672.56
  4. Step 4: Simplify right side
    320,623.31x = 257,731,430,715.32
  5. Step 5: Solve for x
    x = 257,731,430,715.32/320,623.31
  6. Step 6: Final answer
    x = 803,844.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.