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Finding the Third Proportional to 295,141.50 and 632,295

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Solution

The third proportional to 295,141.50 and 632,295 is: 1,354,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,141.50 : 632,295 = 632,295 : x
  2. Step 2: Convert to fraction form
    295,141.50/632,295 = 632,295/x
  3. Step 3: Cross multiply
    295,141.50x = 632,295 × 632,295
  4. Step 4: Simplify right side
    295,141.50x = 399,796,967,025
  5. Step 5: Solve for x
    x = 399,796,967,025/295,141.50
  6. Step 6: Final answer
    x = 1,354,594.21

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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.