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Finding the Third Proportional to 295,393.50 and 632,822.63

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Solution

The third proportional to 295,393.50 and 632,822.63 is: 1,355,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,393.50 : 632,822.63 = 632,822.63 : x
  2. Step 2: Convert to fraction form
    295,393.50/632,822.63 = 632,822.63/x
  3. Step 3: Cross multiply
    295,393.50x = 632,822.63 × 632,822.63
  4. Step 4: Simplify right side
    295,393.50x = 400,464,474,711.89
  5. Step 5: Solve for x
    x = 400,464,474,711.89/295,393.50
  6. Step 6: Final answer
    x = 1,355,698.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.