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Finding the Third Proportional to 397,365.75 and 841,887

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Solution

The third proportional to 397,365.75 and 841,887 is: 1,783,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,365.75 : 841,887 = 841,887 : x
  2. Step 2: Convert to fraction form
    397,365.75/841,887 = 841,887/x
  3. Step 3: Cross multiply
    397,365.75x = 841,887 × 841,887
  4. Step 4: Simplify right side
    397,365.75x = 708,773,720,769
  5. Step 5: Solve for x
    x = 708,773,720,769/397,365.75
  6. Step 6: Final answer
    x = 1,783,680.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.