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Finding the Third Proportional to 294,994.41 and 632,999.81

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Solution

The third proportional to 294,994.41 and 632,999.81 is: 1,358,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,994.41 : 632,999.81 = 632,999.81 : x
  2. Step 2: Convert to fraction form
    294,994.41/632,999.81 = 632,999.81/x
  3. Step 3: Cross multiply
    294,994.41x = 632,999.81 × 632,999.81
  4. Step 4: Simplify right side
    294,994.41x = 400,688,762,625.04
  5. Step 5: Solve for x
    x = 400,688,762,625.04/294,994.41
  6. Step 6: Final answer
    x = 1,358,292.75

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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.