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Finding the Third Proportional to 738,343.50 and 1,139,014.50

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Solution

The third proportional to 738,343.50 and 1,139,014.50 is: 1,757,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,343.50 : 1,139,014.50 = 1,139,014.50 : x
  2. Step 2: Convert to fraction form
    738,343.50/1,139,014.50 = 1,139,014.50/x
  3. Step 3: Cross multiply
    738,343.50x = 1,139,014.50 × 1,139,014.50
  4. Step 4: Simplify right side
    738,343.50x = 1,297,354,031,210.25
  5. Step 5: Solve for x
    x = 1,297,354,031,210.25/738,343.50
  6. Step 6: Final answer
    x = 1,757,114.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.