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Finding the Third Proportional to 292,395.50 and 440,753

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Solution

The third proportional to 292,395.50 and 440,753 is: 664,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,395.50 : 440,753 = 440,753 : x
  2. Step 2: Convert to fraction form
    292,395.50/440,753 = 440,753/x
  3. Step 3: Cross multiply
    292,395.50x = 440,753 × 440,753
  4. Step 4: Simplify right side
    292,395.50x = 194,263,207,009
  5. Step 5: Solve for x
    x = 194,263,207,009/292,395.50
  6. Step 6: Final answer
    x = 664,385.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.