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Finding the Third Proportional to 260,589,028.50 and 542,613,033

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Solution

The third proportional to 260,589,028.50 and 542,613,033 is: 1,129,859,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,589,028.50 : 542,613,033 = 542,613,033 : x
  2. Step 2: Convert to fraction form
    260,589,028.50/542,613,033 = 542,613,033/x
  3. Step 3: Cross multiply
    260,589,028.50x = 542,613,033 × 542,613,033
  4. Step 4: Simplify right side
    260,589,028.50x = 294,428,903,581,459,072
  5. Step 5: Solve for x
    x = 294,428,903,581,459,072/260,589,028.50
  6. Step 6: Final answer
    x = 1,129,859,170.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.