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Finding the Third Proportional to 437,769 and 952,213.50

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Solution

The third proportional to 437,769 and 952,213.50 is: 2,071,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,769 : 952,213.50 = 952,213.50 : x
  2. Step 2: Convert to fraction form
    437,769/952,213.50 = 952,213.50/x
  3. Step 3: Cross multiply
    437,769x = 952,213.50 × 952,213.50
  4. Step 4: Simplify right side
    437,769x = 906,710,549,582.25
  5. Step 5: Solve for x
    x = 906,710,549,582.25/437,769
  6. Step 6: Final answer
    x = 2,071,207.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.