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Finding the Third Proportional to 443,293.50 and 918,118.50

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Solution

The third proportional to 443,293.50 and 918,118.50 is: 1,901,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,293.50 : 918,118.50 = 918,118.50 : x
  2. Step 2: Convert to fraction form
    443,293.50/918,118.50 = 918,118.50/x
  3. Step 3: Cross multiply
    443,293.50x = 918,118.50 × 918,118.50
  4. Step 4: Simplify right side
    443,293.50x = 842,941,580,042.25
  5. Step 5: Solve for x
    x = 842,941,580,042.25/443,293.50
  6. Step 6: Final answer
    x = 1,901,542.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.