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Finding the Third Proportional to 507,676.50 and 1,102,888.50

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Solution

The third proportional to 507,676.50 and 1,102,888.50 is: 2,395,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,676.50 : 1,102,888.50 = 1,102,888.50 : x
  2. Step 2: Convert to fraction form
    507,676.50/1,102,888.50 = 1,102,888.50/x
  3. Step 3: Cross multiply
    507,676.50x = 1,102,888.50 × 1,102,888.50
  4. Step 4: Simplify right side
    507,676.50x = 1,216,363,043,432.25
  5. Step 5: Solve for x
    x = 1,216,363,043,432.25/507,676.50
  6. Step 6: Final answer
    x = 2,395,941.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.