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Finding the Third Proportional to 295,280.81 and 632,385.56

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Solution

The third proportional to 295,280.81 and 632,385.56 is: 1,354,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280.81 : 632,385.56 = 632,385.56 : x
  2. Step 2: Convert to fraction form
    295,280.81/632,385.56 = 632,385.56/x
  3. Step 3: Cross multiply
    295,280.81x = 632,385.56 × 632,385.56
  4. Step 4: Simplify right side
    295,280.81x = 399,911,499,658.44
  5. Step 5: Solve for x
    x = 399,911,499,658.44/295,280.81
  6. Step 6: Final answer
    x = 1,354,342.99

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