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Finding the Third Proportional to 690,033 and 950,191.50

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Solution

The third proportional to 690,033 and 950,191.50 is: 1,308,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,033 : 950,191.50 = 950,191.50 : x
  2. Step 2: Convert to fraction form
    690,033/950,191.50 = 950,191.50/x
  3. Step 3: Cross multiply
    690,033x = 950,191.50 × 950,191.50
  4. Step 4: Simplify right side
    690,033x = 902,863,886,672.25
  5. Step 5: Solve for x
    x = 902,863,886,672.25/690,033
  6. Step 6: Final answer
    x = 1,308,435.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.