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Finding the Third Proportional to 711,564.75 and 1,100,598.75

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Solution

The third proportional to 711,564.75 and 1,100,598.75 is: 1,702,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,564.75 : 1,100,598.75 = 1,100,598.75 : x
  2. Step 2: Convert to fraction form
    711,564.75/1,100,598.75 = 1,100,598.75/x
  3. Step 3: Cross multiply
    711,564.75x = 1,100,598.75 × 1,100,598.75
  4. Step 4: Simplify right side
    711,564.75x = 1,211,317,608,501.56
  5. Step 5: Solve for x
    x = 1,211,317,608,501.56/711,564.75
  6. Step 6: Final answer
    x = 1,702,329.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.