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Finding the Third Proportional to 438,117.75 and 941,674.50

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Solution

The third proportional to 438,117.75 and 941,674.50 is: 2,024,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,117.75 : 941,674.50 = 941,674.50 : x
  2. Step 2: Convert to fraction form
    438,117.75/941,674.50 = 941,674.50/x
  3. Step 3: Cross multiply
    438,117.75x = 941,674.50 × 941,674.50
  4. Step 4: Simplify right side
    438,117.75x = 886,750,863,950.25
  5. Step 5: Solve for x
    x = 886,750,863,950.25/438,117.75
  6. Step 6: Final answer
    x = 2,024,001.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.