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Finding the Third Proportional to 295,084 and 632,242

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Solution

The third proportional to 295,084 and 632,242 is: 1,354,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,084 : 632,242 = 632,242 : x
  2. Step 2: Convert to fraction form
    295,084/632,242 = 632,242/x
  3. Step 3: Cross multiply
    295,084x = 632,242 × 632,242
  4. Step 4: Simplify right side
    295,084x = 399,729,946,564
  5. Step 5: Solve for x
    x = 399,729,946,564/295,084
  6. Step 6: Final answer
    x = 1,354,631.04

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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.