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Finding the Third Proportional to 423,501.75 and 930,966.75

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Solution

The third proportional to 423,501.75 and 930,966.75 is: 2,046,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,501.75 : 930,966.75 = 930,966.75 : x
  2. Step 2: Convert to fraction form
    423,501.75/930,966.75 = 930,966.75/x
  3. Step 3: Cross multiply
    423,501.75x = 930,966.75 × 930,966.75
  4. Step 4: Simplify right side
    423,501.75x = 866,699,089,605.56
  5. Step 5: Solve for x
    x = 866,699,089,605.56/423,501.75
  6. Step 6: Final answer
    x = 2,046,506.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.