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Finding the Third Proportional to 503,613 and 1,081,768.50

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Solution

The third proportional to 503,613 and 1,081,768.50 is: 2,323,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,613 : 1,081,768.50 = 1,081,768.50 : x
  2. Step 2: Convert to fraction form
    503,613/1,081,768.50 = 1,081,768.50/x
  3. Step 3: Cross multiply
    503,613x = 1,081,768.50 × 1,081,768.50
  4. Step 4: Simplify right side
    503,613x = 1,170,223,087,592.25
  5. Step 5: Solve for x
    x = 1,170,223,087,592.25/503,613
  6. Step 6: Final answer
    x = 2,323,655.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.