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Finding the Third Proportional to 308,313 and 669,033

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Solution

The third proportional to 308,313 and 669,033 is: 1,451,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,313 : 669,033 = 669,033 : x
  2. Step 2: Convert to fraction form
    308,313/669,033 = 669,033/x
  3. Step 3: Cross multiply
    308,313x = 669,033 × 669,033
  4. Step 4: Simplify right side
    308,313x = 447,605,155,089
  5. Step 5: Solve for x
    x = 447,605,155,089/308,313
  6. Step 6: Final answer
    x = 1,451,788.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.