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Finding the Third Proportional to 438,377.06 and 911,194.31

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Solution

The third proportional to 438,377.06 and 911,194.31 is: 1,893,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,377.06 : 911,194.31 = 911,194.31 : x
  2. Step 2: Convert to fraction form
    438,377.06/911,194.31 = 911,194.31/x
  3. Step 3: Cross multiply
    438,377.06x = 911,194.31 × 911,194.31
  4. Step 4: Simplify right side
    438,377.06x = 830,275,075,132.35
  5. Step 5: Solve for x
    x = 830,275,075,132.35/438,377.06
  6. Step 6: Final answer
    x = 1,893,974.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.