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Finding the Third Proportional to 234,482 and 363,306

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Solution

The third proportional to 234,482 and 363,306 is: 562,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,482 : 363,306 = 363,306 : x
  2. Step 2: Convert to fraction form
    234,482/363,306 = 363,306/x
  3. Step 3: Cross multiply
    234,482x = 363,306 × 363,306
  4. Step 4: Simplify right side
    234,482x = 131,991,249,636
  5. Step 5: Solve for x
    x = 131,991,249,636/234,482
  6. Step 6: Final answer
    x = 562,905.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.