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Finding the Third Proportional to 507,576.38 and 714,146.63

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Solution

The third proportional to 507,576.38 and 714,146.63 is: 1,004,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,576.38 : 714,146.63 = 714,146.63 : x
  2. Step 2: Convert to fraction form
    507,576.38/714,146.63 = 714,146.63/x
  3. Step 3: Cross multiply
    507,576.38x = 714,146.63 × 714,146.63
  4. Step 4: Simplify right side
    507,576.38x = 510,005,401,998.89
  5. Step 5: Solve for x
    x = 510,005,401,998.89/507,576.38
  6. Step 6: Final answer
    x = 1,004,785.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.