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Finding the Third Proportional to 295,441 and 626,330

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Solution

The third proportional to 295,441 and 626,330 is: 1,327,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,441 : 626,330 = 626,330 : x
  2. Step 2: Convert to fraction form
    295,441/626,330 = 626,330/x
  3. Step 3: Cross multiply
    295,441x = 626,330 × 626,330
  4. Step 4: Simplify right side
    295,441x = 392,289,268,900
  5. Step 5: Solve for x
    x = 392,289,268,900/295,441
  6. Step 6: Final answer
    x = 1,327,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.