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Finding the Third Proportional to 507,155.50 and 1,070,899.50

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Solution

The third proportional to 507,155.50 and 1,070,899.50 is: 2,261,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,155.50 : 1,070,899.50 = 1,070,899.50 : x
  2. Step 2: Convert to fraction form
    507,155.50/1,070,899.50 = 1,070,899.50/x
  3. Step 3: Cross multiply
    507,155.50x = 1,070,899.50 × 1,070,899.50
  4. Step 4: Simplify right side
    507,155.50x = 1,146,825,739,100.25
  5. Step 5: Solve for x
    x = 1,146,825,739,100.25/507,155.50
  6. Step 6: Final answer
    x = 2,261,290.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.