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Finding the Third Proportional to 295,132 and 652,286

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Solution

The third proportional to 295,132 and 652,286 is: 1,441,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,132 : 652,286 = 652,286 : x
  2. Step 2: Convert to fraction form
    295,132/652,286 = 652,286/x
  3. Step 3: Cross multiply
    295,132x = 652,286 × 652,286
  4. Step 4: Simplify right side
    295,132x = 425,477,025,796
  5. Step 5: Solve for x
    x = 425,477,025,796/295,132
  6. Step 6: Final answer
    x = 1,441,649.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.